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Finding the Fourth Proportional to 14,867, 20,517.10 and 8,897.52

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Solution

The fourth proportional to 14,867, 20,517.10 and 8,897.52 is: 12,278.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,867 : 20,517.10 = 8,897.52 : x
  2. Step 2: Convert to fraction form
    14,867/20,517.10 = 8,897.52/x
  3. Step 3: Cross multiply
    14,867x = 20,517.10 × 8,897.52
  4. Step 4: Simplify right side
    14,867x = 182,551,307.59
  5. Step 5: Solve for x
    x = 182,551,307.59/14,867
  6. Step 6: Final answer
    x = 12,278.96

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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.