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Finding the Fourth Proportional to 16,440.75, 22,691.07 and 15,894

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Solution

The fourth proportional to 16,440.75, 22,691.07 and 15,894 is: 21,936.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,440.75 : 22,691.07 = 15,894 : x
  2. Step 2: Convert to fraction form
    16,440.75/22,691.07 = 15,894/x
  3. Step 3: Cross multiply
    16,440.75x = 22,691.07 × 15,894
  4. Step 4: Simplify right side
    16,440.75x = 360,651,866.58
  5. Step 5: Solve for x
    x = 360,651,866.58/16,440.75
  6. Step 6: Final answer
    x = 21,936.46

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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.