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Finding the Fourth Proportional to 31,543.72, 47,313.72 and 11,820.62

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Solution

The fourth proportional to 31,543.72, 47,313.72 and 11,820.62 is: 17,730.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,543.72 : 47,313.72 = 11,820.62 : x
  2. Step 2: Convert to fraction form
    31,543.72/47,313.72 = 11,820.62/x
  3. Step 3: Cross multiply
    31,543.72x = 47,313.72 × 11,820.62
  4. Step 4: Simplify right side
    31,543.72x = 559,277,504.91
  5. Step 5: Solve for x
    x = 559,277,504.91/31,543.72
  6. Step 6: Final answer
    x = 17,730.23

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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.