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Finding the Fourth Proportional to 31,780.78, 47,652.63 and 9,587.50

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Solution

The fourth proportional to 31,780.78, 47,652.63 and 9,587.50 is: 14,375.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,780.78 : 47,652.63 = 9,587.50 : x
  2. Step 2: Convert to fraction form
    31,780.78/47,652.63 = 9,587.50/x
  3. Step 3: Cross multiply
    31,780.78x = 47,652.63 × 9,587.50
  4. Step 4: Simplify right side
    31,780.78x = 456,869,435.04
  5. Step 5: Solve for x
    x = 456,869,435.04/31,780.78
  6. Step 6: Final answer
    x = 14,375.65

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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.