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Finding the Fourth Proportional to 31,608, 47,420.82 and 9,422.10

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Solution

The fourth proportional to 31,608, 47,420.82 and 9,422.10 is: 14,135.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,608 : 47,420.82 = 9,422.10 : x
  2. Step 2: Convert to fraction form
    31,608/47,420.82 = 9,422.10/x
  3. Step 3: Cross multiply
    31,608x = 47,420.82 × 9,422.10
  4. Step 4: Simplify right side
    31,608x = 446,803,708.12
  5. Step 5: Solve for x
    x = 446,803,708.12/31,608
  6. Step 6: Final answer
    x = 14,135.78

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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.