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Finding the Fourth Proportional to 2,902.55, 4,353.84 and 954.75

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Solution

The fourth proportional to 2,902.55, 4,353.84 and 954.75 is: 1,432.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.55 : 4,353.84 = 954.75 : x
  2. Step 2: Convert to fraction form
    2,902.55/4,353.84 = 954.75/x
  3. Step 3: Cross multiply
    2,902.55x = 4,353.84 × 954.75
  4. Step 4: Simplify right side
    2,902.55x = 4,156,828.74
  5. Step 5: Solve for x
    x = 4,156,828.74/2,902.55
  6. Step 6: Final answer
    x = 1,432.13

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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.