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Finding the Fourth Proportional to 31,558, 47,341.96 and 9,369.12

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Solution

The fourth proportional to 31,558, 47,341.96 and 9,369.12 is: 14,055.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,558 : 47,341.96 = 9,369.12 : x
  2. Step 2: Convert to fraction form
    31,558/47,341.96 = 9,369.12/x
  3. Step 3: Cross multiply
    31,558x = 47,341.96 × 9,369.12
  4. Step 4: Simplify right side
    31,558x = 443,552,504.28
  5. Step 5: Solve for x
    x = 443,552,504.28/31,558
  6. Step 6: Final answer
    x = 14,055.15

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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.