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Finding the Fourth Proportional to 1,287.54, 1,933.80 and 1,102.86

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Solution

The fourth proportional to 1,287.54, 1,933.80 and 1,102.86 is: 1,656.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.54 : 1,933.80 = 1,102.86 : x
  2. Step 2: Convert to fraction form
    1,287.54/1,933.80 = 1,102.86/x
  3. Step 3: Cross multiply
    1,287.54x = 1,933.80 × 1,102.86
  4. Step 4: Simplify right side
    1,287.54x = 2,132,710.67
  5. Step 5: Solve for x
    x = 2,132,710.67/1,287.54
  6. Step 6: Final answer
    x = 1,656.42

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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.