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Finding the Fourth Proportional to 31,715.40, 47,543.40 and 12,007.20

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Solution

The fourth proportional to 31,715.40, 47,543.40 and 12,007.20 is: 17,999.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,715.40 : 47,543.40 = 12,007.20 : x
  2. Step 2: Convert to fraction form
    31,715.40/47,543.40 = 12,007.20/x
  3. Step 3: Cross multiply
    31,715.40x = 47,543.40 × 12,007.20
  4. Step 4: Simplify right side
    31,715.40x = 570,863,112.48
  5. Step 5: Solve for x
    x = 570,863,112.48/31,715.40
  6. Step 6: Final answer
    x = 17,999.56

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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.