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Finding the Fourth Proportional to 10,899.92, 16,356.12 and 4,659.20

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Solution

The fourth proportional to 10,899.92, 16,356.12 and 4,659.20 is: 6,991.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,899.92 : 16,356.12 = 4,659.20 : x
  2. Step 2: Convert to fraction form
    10,899.92/16,356.12 = 4,659.20/x
  3. Step 3: Cross multiply
    10,899.92x = 16,356.12 × 4,659.20
  4. Step 4: Simplify right side
    10,899.92x = 76,206,434.30
  5. Step 5: Solve for x
    x = 76,206,434.30/10,899.92
  6. Step 6: Final answer
    x = 6,991.47

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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.