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Finding the Fourth Proportional to 5,462.50, 8,193.78 and 1,358.50

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Solution

The fourth proportional to 5,462.50, 8,193.78 and 1,358.50 is: 2,037.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,462.50 : 8,193.78 = 1,358.50 : x
  2. Step 2: Convert to fraction form
    5,462.50/8,193.78 = 1,358.50/x
  3. Step 3: Cross multiply
    5,462.50x = 8,193.78 × 1,358.50
  4. Step 4: Simplify right side
    5,462.50x = 11,131,250.13
  5. Step 5: Solve for x
    x = 11,131,250.13/5,462.50
  6. Step 6: Final answer
    x = 2,037.76

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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.