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Finding the Fourth Proportional to 3,146.48, 4,719.76 and 955.20

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Solution

The fourth proportional to 3,146.48, 4,719.76 and 955.20 is: 1,432.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.48 : 4,719.76 = 955.20 : x
  2. Step 2: Convert to fraction form
    3,146.48/4,719.76 = 955.20/x
  3. Step 3: Cross multiply
    3,146.48x = 4,719.76 × 955.20
  4. Step 4: Simplify right side
    3,146.48x = 4,508,314.75
  5. Step 5: Solve for x
    x = 4,508,314.75/3,146.48
  6. Step 6: Final answer
    x = 1,432.81

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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.