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Finding the Fourth Proportional to 2,371.61, 3,557.88 and 910.66

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Solution

The fourth proportional to 2,371.61, 3,557.88 and 910.66 is: 1,366.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,371.61 : 3,557.88 = 910.66 : x
  2. Step 2: Convert to fraction form
    2,371.61/3,557.88 = 910.66/x
  3. Step 3: Cross multiply
    2,371.61x = 3,557.88 × 910.66
  4. Step 4: Simplify right side
    2,371.61x = 3,240,010.11
  5. Step 5: Solve for x
    x = 3,240,010.11/2,371.61
  6. Step 6: Final answer
    x = 1,366.16

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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.