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Finding the Fourth Proportional to 16,897.68, 25,348.88 and 5,211.84

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Solution

The fourth proportional to 16,897.68, 25,348.88 and 5,211.84 is: 7,818.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,897.68 : 25,348.88 = 5,211.84 : x
  2. Step 2: Convert to fraction form
    16,897.68/25,348.88 = 5,211.84/x
  3. Step 3: Cross multiply
    16,897.68x = 25,348.88 × 5,211.84
  4. Step 4: Simplify right side
    16,897.68x = 132,114,306.74
  5. Step 5: Solve for x
    x = 132,114,306.74/16,897.68
  6. Step 6: Final answer
    x = 7,818.49

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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.