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Finding the Fourth Proportional to 31,720.48, 47,543.88 and 11,986.48

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Solution

The fourth proportional to 31,720.48, 47,543.88 and 11,986.48 is: 17,965.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,720.48 : 47,543.88 = 11,986.48 : x
  2. Step 2: Convert to fraction form
    31,720.48/47,543.88 = 11,986.48/x
  3. Step 3: Cross multiply
    31,720.48x = 47,543.88 × 11,986.48
  4. Step 4: Simplify right side
    31,720.48x = 569,883,766.74
  5. Step 5: Solve for x
    x = 569,883,766.74/31,720.48
  6. Step 6: Final answer
    x = 17,965.80

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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.