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Finding the Fourth Proportional to 2,371.91, 3,557.45 and 640.13

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Solution

The fourth proportional to 2,371.91, 3,557.45 and 640.13 is: 960.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,371.91 : 3,557.45 = 640.13 : x
  2. Step 2: Convert to fraction form
    2,371.91/3,557.45 = 640.13/x
  3. Step 3: Cross multiply
    2,371.91x = 3,557.45 × 640.13
  4. Step 4: Simplify right side
    2,371.91x = 2,277,214.28
  5. Step 5: Solve for x
    x = 2,277,214.28/2,371.91
  6. Step 6: Final answer
    x = 960.08

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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.