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Finding the Fourth Proportional to 1,854.49, 2,782.47 and 758.92

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Solution

The fourth proportional to 1,854.49, 2,782.47 and 758.92 is: 1,138.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.49 : 2,782.47 = 758.92 : x
  2. Step 2: Convert to fraction form
    1,854.49/2,782.47 = 758.92/x
  3. Step 3: Cross multiply
    1,854.49x = 2,782.47 × 758.92
  4. Step 4: Simplify right side
    1,854.49x = 2,111,672.13
  5. Step 5: Solve for x
    x = 2,111,672.13/1,854.49
  6. Step 6: Final answer
    x = 1,138.68

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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.