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Finding the Fourth Proportional to 38,657.70, 57,981.15 and 12,365.10

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Solution

The fourth proportional to 38,657.70, 57,981.15 and 12,365.10 is: 18,545.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,657.70 : 57,981.15 = 12,365.10 : x
  2. Step 2: Convert to fraction form
    38,657.70/57,981.15 = 12,365.10/x
  3. Step 3: Cross multiply
    38,657.70x = 57,981.15 × 12,365.10
  4. Step 4: Simplify right side
    38,657.70x = 716,942,717.87
  5. Step 5: Solve for x
    x = 716,942,717.87/38,657.70
  6. Step 6: Final answer
    x = 18,545.92

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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.