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Finding the Fourth Proportional to 1,562.14, 2,155.67 and 863.50

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Solution

The fourth proportional to 1,562.14, 2,155.67 and 863.50 is: 1,191.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.14 : 2,155.67 = 863.50 : x
  2. Step 2: Convert to fraction form
    1,562.14/2,155.67 = 863.50/x
  3. Step 3: Cross multiply
    1,562.14x = 2,155.67 × 863.50
  4. Step 4: Simplify right side
    1,562.14x = 1,861,421.05
  5. Step 5: Solve for x
    x = 1,861,421.05/1,562.14
  6. Step 6: Final answer
    x = 1,191.58

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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.