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Finding the Fourth Proportional to 25,425, 35,086.50 and 15,489

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Solution

The fourth proportional to 25,425, 35,086.50 and 15,489 is: 21,374.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,425 : 35,086.50 = 15,489 : x
  2. Step 2: Convert to fraction form
    25,425/35,086.50 = 15,489/x
  3. Step 3: Cross multiply
    25,425x = 35,086.50 × 15,489
  4. Step 4: Simplify right side
    25,425x = 543,454,798.50
  5. Step 5: Solve for x
    x = 543,454,798.50/25,425
  6. Step 6: Final answer
    x = 21,374.82

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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.