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Finding the Fourth Proportional to 31,877, 47,823.18 and 9,989

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Solution

The fourth proportional to 31,877, 47,823.18 and 9,989 is: 14,985.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,877 : 47,823.18 = 9,989 : x
  2. Step 2: Convert to fraction form
    31,877/47,823.18 = 9,989/x
  3. Step 3: Cross multiply
    31,877x = 47,823.18 × 9,989
  4. Step 4: Simplify right side
    31,877x = 477,705,745.02
  5. Step 5: Solve for x
    x = 477,705,745.02/31,877
  6. Step 6: Final answer
    x = 14,985.91

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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.