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Finding the Fourth Proportional to 10,090.92, 15,129.90 and 6,962.16

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Solution

The fourth proportional to 10,090.92, 15,129.90 and 6,962.16 is: 10,438.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,090.92 : 15,129.90 = 6,962.16 : x
  2. Step 2: Convert to fraction form
    10,090.92/15,129.90 = 6,962.16/x
  3. Step 3: Cross multiply
    10,090.92x = 15,129.90 × 6,962.16
  4. Step 4: Simplify right side
    10,090.92x = 105,336,784.58
  5. Step 5: Solve for x
    x = 105,336,784.58/10,090.92
  6. Step 6: Final answer
    x = 10,438.77

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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.