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Finding the Fourth Proportional to 3,142.78, 4,715.04 and 951.53

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Solution

The fourth proportional to 3,142.78, 4,715.04 and 951.53 is: 1,427.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.78 : 4,715.04 = 951.53 : x
  2. Step 2: Convert to fraction form
    3,142.78/4,715.04 = 951.53/x
  3. Step 3: Cross multiply
    3,142.78x = 4,715.04 × 951.53
  4. Step 4: Simplify right side
    3,142.78x = 4,486,482.00
  5. Step 5: Solve for x
    x = 4,486,482.00/3,142.78
  6. Step 6: Final answer
    x = 1,427.55

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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.