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Finding the Fourth Proportional to 31,543.50, 47,315.25 and 17,693.58

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Solution

The fourth proportional to 31,543.50, 47,315.25 and 17,693.58 is: 26,540.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,543.50 : 47,315.25 = 17,693.58 : x
  2. Step 2: Convert to fraction form
    31,543.50/47,315.25 = 17,693.58/x
  3. Step 3: Cross multiply
    31,543.50x = 47,315.25 × 17,693.58
  4. Step 4: Simplify right side
    31,543.50x = 837,176,161.10
  5. Step 5: Solve for x
    x = 837,176,161.10/31,543.50
  6. Step 6: Final answer
    x = 26,540.37

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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.