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Finding the Fourth Proportional to 2,341.78, 3,511.70 and 954.18

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Solution

The fourth proportional to 2,341.78, 3,511.70 and 954.18 is: 1,430.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,341.78 : 3,511.70 = 954.18 : x
  2. Step 2: Convert to fraction form
    2,341.78/3,511.70 = 954.18/x
  3. Step 3: Cross multiply
    2,341.78x = 3,511.70 × 954.18
  4. Step 4: Simplify right side
    2,341.78x = 3,350,793.91
  5. Step 5: Solve for x
    x = 3,350,793.91/2,341.78
  6. Step 6: Final answer
    x = 1,430.87

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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.