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Finding the Fourth Proportional to 1,561, 2,154.18 and 862.42

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Solution

The fourth proportional to 1,561, 2,154.18 and 862.42 is: 1,190.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561 : 2,154.18 = 862.42 : x
  2. Step 2: Convert to fraction form
    1,561/2,154.18 = 862.42/x
  3. Step 3: Cross multiply
    1,561x = 2,154.18 × 862.42
  4. Step 4: Simplify right side
    1,561x = 1,857,807.92
  5. Step 5: Solve for x
    x = 1,857,807.92/1,561
  6. Step 6: Final answer
    x = 1,190.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.