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Finding the Fourth Proportional to 2,149.71, 3,225.52 and 917.90

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Solution

The fourth proportional to 2,149.71, 3,225.52 and 917.90 is: 1,377.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.71 : 3,225.52 = 917.90 : x
  2. Step 2: Convert to fraction form
    2,149.71/3,225.52 = 917.90/x
  3. Step 3: Cross multiply
    2,149.71x = 3,225.52 × 917.90
  4. Step 4: Simplify right side
    2,149.71x = 2,960,704.81
  5. Step 5: Solve for x
    x = 2,960,704.81/2,149.71
  6. Step 6: Final answer
    x = 1,377.26

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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.