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Finding the Fourth Proportional to 2,166.75, 2,990.12 and 1,235.25

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Solution

The fourth proportional to 2,166.75, 2,990.12 and 1,235.25 is: 1,704.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.75 : 2,990.12 = 1,235.25 : x
  2. Step 2: Convert to fraction form
    2,166.75/2,990.12 = 1,235.25/x
  3. Step 3: Cross multiply
    2,166.75x = 2,990.12 × 1,235.25
  4. Step 4: Simplify right side
    2,166.75x = 3,693,539.55
  5. Step 5: Solve for x
    x = 3,693,539.55/2,166.75
  6. Step 6: Final answer
    x = 1,704.65

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.