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Finding the Fourth Proportional to 2,592.49, 3,885.25 and 947.49

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Solution

The fourth proportional to 2,592.49, 3,885.25 and 947.49 is: 1,419.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592.49 : 3,885.25 = 947.49 : x
  2. Step 2: Convert to fraction form
    2,592.49/3,885.25 = 947.49/x
  3. Step 3: Cross multiply
    2,592.49x = 3,885.25 × 947.49
  4. Step 4: Simplify right side
    2,592.49x = 3,681,235.52
  5. Step 5: Solve for x
    x = 3,681,235.52/2,592.49
  6. Step 6: Final answer
    x = 1,419.96

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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.