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Finding the Fourth Proportional to 31,909.62, 47,870.25 and 9,720.48

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Solution

The fourth proportional to 31,909.62, 47,870.25 and 9,720.48 is: 14,582.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,909.62 : 47,870.25 = 9,720.48 : x
  2. Step 2: Convert to fraction form
    31,909.62/47,870.25 = 9,720.48/x
  3. Step 3: Cross multiply
    31,909.62x = 47,870.25 × 9,720.48
  4. Step 4: Simplify right side
    31,909.62x = 465,321,807.72
  5. Step 5: Solve for x
    x = 465,321,807.72/31,909.62
  6. Step 6: Final answer
    x = 14,582.49

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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.