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Finding the Fourth Proportional to 27,978.41, 38,613.89 and 16,039.43

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Solution

The fourth proportional to 27,978.41, 38,613.89 and 16,039.43 is: 22,136.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,978.41 : 38,613.89 = 16,039.43 : x
  2. Step 2: Convert to fraction form
    27,978.41/38,613.89 = 16,039.43/x
  3. Step 3: Cross multiply
    27,978.41x = 38,613.89 × 16,039.43
  4. Step 4: Simplify right side
    27,978.41x = 619,344,802.02
  5. Step 5: Solve for x
    x = 619,344,802.02/27,978.41
  6. Step 6: Final answer
    x = 22,136.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.