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Finding the Fourth Proportional to 10,812.72, 16,197.48 and 9,899.04

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Solution

The fourth proportional to 10,812.72, 16,197.48 and 9,899.04 is: 14,828.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,812.72 : 16,197.48 = 9,899.04 : x
  2. Step 2: Convert to fraction form
    10,812.72/16,197.48 = 9,899.04/x
  3. Step 3: Cross multiply
    10,812.72x = 16,197.48 × 9,899.04
  4. Step 4: Simplify right side
    10,812.72x = 160,339,502.42
  5. Step 5: Solve for x
    x = 160,339,502.42/10,812.72
  6. Step 6: Final answer
    x = 14,828.79

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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.