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Finding the Fourth Proportional to 3,242.47, 4,863.81 and 902.50

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Solution

The fourth proportional to 3,242.47, 4,863.81 and 902.50 is: 1,353.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,242.47 : 4,863.81 = 902.50 : x
  2. Step 2: Convert to fraction form
    3,242.47/4,863.81 = 902.50/x
  3. Step 3: Cross multiply
    3,242.47x = 4,863.81 × 902.50
  4. Step 4: Simplify right side
    3,242.47x = 4,389,588.53
  5. Step 5: Solve for x
    x = 4,389,588.53/3,242.47
  6. Step 6: Final answer
    x = 1,353.78

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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.