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Finding the Fourth Proportional to 3,098.78, 4,646.52 and 1,782.26

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Solution

The fourth proportional to 3,098.78, 4,646.52 and 1,782.26 is: 2,672.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.78 : 4,646.52 = 1,782.26 : x
  2. Step 2: Convert to fraction form
    3,098.78/4,646.52 = 1,782.26/x
  3. Step 3: Cross multiply
    3,098.78x = 4,646.52 × 1,782.26
  4. Step 4: Simplify right side
    3,098.78x = 8,281,306.74
  5. Step 5: Solve for x
    x = 8,281,306.74/3,098.78
  6. Step 6: Final answer
    x = 2,672.44

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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.