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Finding the Fourth Proportional to 2,597.62, 3,892.38 and 1,502.50

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Solution

The fourth proportional to 2,597.62, 3,892.38 and 1,502.50 is: 2,251.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.62 : 3,892.38 = 1,502.50 : x
  2. Step 2: Convert to fraction form
    2,597.62/3,892.38 = 1,502.50/x
  3. Step 3: Cross multiply
    2,597.62x = 3,892.38 × 1,502.50
  4. Step 4: Simplify right side
    2,597.62x = 5,848,300.95
  5. Step 5: Solve for x
    x = 5,848,300.95/2,597.62
  6. Step 6: Final answer
    x = 2,251.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.