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Finding the Fourth Proportional to 31,646.34, 47,469.09 and 9,459.90

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Solution

The fourth proportional to 31,646.34, 47,469.09 and 9,459.90 is: 14,189.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,646.34 : 47,469.09 = 9,459.90 : x
  2. Step 2: Convert to fraction form
    31,646.34/47,469.09 = 9,459.90/x
  3. Step 3: Cross multiply
    31,646.34x = 47,469.09 × 9,459.90
  4. Step 4: Simplify right side
    31,646.34x = 449,052,844.49
  5. Step 5: Solve for x
    x = 449,052,844.49/31,646.34
  6. Step 6: Final answer
    x = 14,189.72

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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.