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Finding the Fourth Proportional to 25,691, 35,453.60 and 14,513

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Solution

The fourth proportional to 25,691, 35,453.60 and 14,513 is: 20,027.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,691 : 35,453.60 = 14,513 : x
  2. Step 2: Convert to fraction form
    25,691/35,453.60 = 14,513/x
  3. Step 3: Cross multiply
    25,691x = 35,453.60 × 14,513
  4. Step 4: Simplify right side
    25,691x = 514,538,096.80
  5. Step 5: Solve for x
    x = 514,538,096.80/25,691
  6. Step 6: Final answer
    x = 20,027.95

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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.