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Finding the Fourth Proportional to 31,461.80, 47,200 and 10,400.56

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Solution

The fourth proportional to 31,461.80, 47,200 and 10,400.56 is: 15,603.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,461.80 : 47,200 = 10,400.56 : x
  2. Step 2: Convert to fraction form
    31,461.80/47,200 = 10,400.56/x
  3. Step 3: Cross multiply
    31,461.80x = 47,200 × 10,400.56
  4. Step 4: Simplify right side
    31,461.80x = 490,906,432
  5. Step 5: Solve for x
    x = 490,906,432/31,461.80
  6. Step 6: Final answer
    x = 15,603.25

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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.