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Finding the Fourth Proportional to 16,642.92, 22,971.08 and 10,978.68

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Solution

The fourth proportional to 16,642.92, 22,971.08 and 10,978.68 is: 15,153.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,642.92 : 22,971.08 = 10,978.68 : x
  2. Step 2: Convert to fraction form
    16,642.92/22,971.08 = 10,978.68/x
  3. Step 3: Cross multiply
    16,642.92x = 22,971.08 × 10,978.68
  4. Step 4: Simplify right side
    16,642.92x = 252,192,136.57
  5. Step 5: Solve for x
    x = 252,192,136.57/16,642.92
  6. Step 6: Final answer
    x = 15,153.12

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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.