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Finding the Fourth Proportional to 25,410, 35,065.80 and 15,474

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Solution

The fourth proportional to 25,410, 35,065.80 and 15,474 is: 21,354.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,410 : 35,065.80 = 15,474 : x
  2. Step 2: Convert to fraction form
    25,410/35,065.80 = 15,474/x
  3. Step 3: Cross multiply
    25,410x = 35,065.80 × 15,474
  4. Step 4: Simplify right side
    25,410x = 542,608,189.20
  5. Step 5: Solve for x
    x = 542,608,189.20/25,410
  6. Step 6: Final answer
    x = 21,354.12

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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.