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Finding the Fourth Proportional to 3,146.53, 4,719.49 and 955.28

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Solution

The fourth proportional to 3,146.53, 4,719.49 and 955.28 is: 1,432.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.53 : 4,719.49 = 955.28 : x
  2. Step 2: Convert to fraction form
    3,146.53/4,719.49 = 955.28/x
  3. Step 3: Cross multiply
    3,146.53x = 4,719.49 × 955.28
  4. Step 4: Simplify right side
    3,146.53x = 4,508,419.96
  5. Step 5: Solve for x
    x = 4,508,419.96/3,146.53
  6. Step 6: Final answer
    x = 1,432.82

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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.