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Finding the Fourth Proportional to 2,678.47, 4,017.20 and 829.31

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Solution

The fourth proportional to 2,678.47, 4,017.20 and 829.31 is: 1,243.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.47 : 4,017.20 = 829.31 : x
  2. Step 2: Convert to fraction form
    2,678.47/4,017.20 = 829.31/x
  3. Step 3: Cross multiply
    2,678.47x = 4,017.20 × 829.31
  4. Step 4: Simplify right side
    2,678.47x = 3,331,479.90
  5. Step 5: Solve for x
    x = 3,331,479.90/2,678.47
  6. Step 6: Final answer
    x = 1,243.80

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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.