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Finding the Fourth Proportional to 1,295.75, 1,932.54 and 1,102.02

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Solution

The fourth proportional to 1,295.75, 1,932.54 and 1,102.02 is: 1,643.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.75 : 1,932.54 = 1,102.02 : x
  2. Step 2: Convert to fraction form
    1,295.75/1,932.54 = 1,102.02/x
  3. Step 3: Cross multiply
    1,295.75x = 1,932.54 × 1,102.02
  4. Step 4: Simplify right side
    1,295.75x = 2,129,697.73
  5. Step 5: Solve for x
    x = 2,129,697.73/1,295.75
  6. Step 6: Final answer
    x = 1,643.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.