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Finding the Fourth Proportional to 2,342.80, 3,514.26 and 782.75

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Solution

The fourth proportional to 2,342.80, 3,514.26 and 782.75 is: 1,174.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.80 : 3,514.26 = 782.75 : x
  2. Step 2: Convert to fraction form
    2,342.80/3,514.26 = 782.75/x
  3. Step 3: Cross multiply
    2,342.80x = 3,514.26 × 782.75
  4. Step 4: Simplify right side
    2,342.80x = 2,750,787.02
  5. Step 5: Solve for x
    x = 2,750,787.02/2,342.80
  6. Step 6: Final answer
    x = 1,174.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.