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Finding the Fourth Proportional to 14,665.57, 20,238.51 and 7,951.20

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Solution

The fourth proportional to 14,665.57, 20,238.51 and 7,951.20 is: 10,972.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,665.57 : 20,238.51 = 7,951.20 : x
  2. Step 2: Convert to fraction form
    14,665.57/20,238.51 = 7,951.20/x
  3. Step 3: Cross multiply
    14,665.57x = 20,238.51 × 7,951.20
  4. Step 4: Simplify right side
    14,665.57x = 160,920,299.76
  5. Step 5: Solve for x
    x = 160,920,299.76/14,665.57
  6. Step 6: Final answer
    x = 10,972.66

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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.