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Finding the Fourth Proportional to 5,130.69, 7,696.04 and 1,235.10

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Solution

The fourth proportional to 5,130.69, 7,696.04 and 1,235.10 is: 1,852.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,130.69 : 7,696.04 = 1,235.10 : x
  2. Step 2: Convert to fraction form
    5,130.69/7,696.04 = 1,235.10/x
  3. Step 3: Cross multiply
    5,130.69x = 7,696.04 × 1,235.10
  4. Step 4: Simplify right side
    5,130.69x = 9,505,372.83
  5. Step 5: Solve for x
    x = 9,505,372.83/5,130.69
  6. Step 6: Final answer
    x = 1,852.65

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Half scale
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Double scale
Find fourth proportional to 5,131.69, 7,697.54 and 1,236.10
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.