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Finding the Fourth Proportional to 1,561.50, 2,154.88 and 862.90

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Solution

The fourth proportional to 1,561.50, 2,154.88 and 862.90 is: 1,190.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.50 : 2,154.88 = 862.90 : x
  2. Step 2: Convert to fraction form
    1,561.50/2,154.88 = 862.90/x
  3. Step 3: Cross multiply
    1,561.50x = 2,154.88 × 862.90
  4. Step 4: Simplify right side
    1,561.50x = 1,859,445.95
  5. Step 5: Solve for x
    x = 1,859,445.95/1,561.50
  6. Step 6: Final answer
    x = 1,190.81

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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.