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Finding the Fourth Proportional to 31,048.75, 42,847.28 and 16,901.70

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Solution

The fourth proportional to 31,048.75, 42,847.28 and 16,901.70 is: 23,324.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,048.75 : 42,847.28 = 16,901.70 : x
  2. Step 2: Convert to fraction form
    31,048.75/42,847.28 = 16,901.70/x
  3. Step 3: Cross multiply
    31,048.75x = 42,847.28 × 16,901.70
  4. Step 4: Simplify right side
    31,048.75x = 724,191,872.38
  5. Step 5: Solve for x
    x = 724,191,872.38/31,048.75
  6. Step 6: Final answer
    x = 23,324.35

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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.