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Finding the Fourth Proportional to 15,221.92, 22,836.36 and 6,457.12

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Solution

The fourth proportional to 15,221.92, 22,836.36 and 6,457.12 is: 9,687.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,221.92 : 22,836.36 = 6,457.12 : x
  2. Step 2: Convert to fraction form
    15,221.92/22,836.36 = 6,457.12/x
  3. Step 3: Cross multiply
    15,221.92x = 22,836.36 × 6,457.12
  4. Step 4: Simplify right side
    15,221.92x = 147,457,116.88
  5. Step 5: Solve for x
    x = 147,457,116.88/15,221.92
  6. Step 6: Final answer
    x = 9,687.16

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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.