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Finding the Fourth Proportional to 16,312.80, 22,510.90 and 9,239.28

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Solution

The fourth proportional to 16,312.80, 22,510.90 and 9,239.28 is: 12,749.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,312.80 : 22,510.90 = 9,239.28 : x
  2. Step 2: Convert to fraction form
    16,312.80/22,510.90 = 9,239.28/x
  3. Step 3: Cross multiply
    16,312.80x = 22,510.90 × 9,239.28
  4. Step 4: Simplify right side
    16,312.80x = 207,984,508.15
  5. Step 5: Solve for x
    x = 207,984,508.15/16,312.80
  6. Step 6: Final answer
    x = 12,749.77

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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.