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Finding the Fourth Proportional to 7,130.80, 10,696.20 and 4,166.20

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Solution

The fourth proportional to 7,130.80, 10,696.20 and 4,166.20 is: 6,249.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,130.80 : 10,696.20 = 4,166.20 : x
  2. Step 2: Convert to fraction form
    7,130.80/10,696.20 = 4,166.20/x
  3. Step 3: Cross multiply
    7,130.80x = 10,696.20 × 4,166.20
  4. Step 4: Simplify right side
    7,130.80x = 44,562,508.44
  5. Step 5: Solve for x
    x = 44,562,508.44/7,130.80
  6. Step 6: Final answer
    x = 6,249.30

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.