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Finding the Fourth Proportional to 14,677.20, 20,255.40 and 14,013

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Solution

The fourth proportional to 14,677.20, 20,255.40 and 14,013 is: 19,338.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,677.20 : 20,255.40 = 14,013 : x
  2. Step 2: Convert to fraction form
    14,677.20/20,255.40 = 14,013/x
  3. Step 3: Cross multiply
    14,677.20x = 20,255.40 × 14,013
  4. Step 4: Simplify right side
    14,677.20x = 283,838,920.20
  5. Step 5: Solve for x
    x = 283,838,920.20/14,677.20
  6. Step 6: Final answer
    x = 19,338.76

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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.