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Finding the Fourth Proportional to 31,872, 47,815.68 and 9,984

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Solution

The fourth proportional to 31,872, 47,815.68 and 9,984 is: 14,978.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,872 : 47,815.68 = 9,984 : x
  2. Step 2: Convert to fraction form
    31,872/47,815.68 = 9,984/x
  3. Step 3: Cross multiply
    31,872x = 47,815.68 × 9,984
  4. Step 4: Simplify right side
    31,872x = 477,391,749.12
  5. Step 5: Solve for x
    x = 477,391,749.12/31,872
  6. Step 6: Final answer
    x = 14,978.41

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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.