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Finding the Fourth Proportional to 2,426.74, 3,639.63 and 671.29

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Solution

The fourth proportional to 2,426.74, 3,639.63 and 671.29 is: 1,006.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,426.74 : 3,639.63 = 671.29 : x
  2. Step 2: Convert to fraction form
    2,426.74/3,639.63 = 671.29/x
  3. Step 3: Cross multiply
    2,426.74x = 3,639.63 × 671.29
  4. Step 4: Simplify right side
    2,426.74x = 2,443,247.22
  5. Step 5: Solve for x
    x = 2,443,247.22/2,426.74
  6. Step 6: Final answer
    x = 1,006.80

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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.