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Finding the Fourth Proportional to 2,378.52, 3,567.38 and 917.69

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Solution

The fourth proportional to 2,378.52, 3,567.38 and 917.69 is: 1,376.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.52 : 3,567.38 = 917.69 : x
  2. Step 2: Convert to fraction form
    2,378.52/3,567.38 = 917.69/x
  3. Step 3: Cross multiply
    2,378.52x = 3,567.38 × 917.69
  4. Step 4: Simplify right side
    2,378.52x = 3,273,726.53
  5. Step 5: Solve for x
    x = 3,273,726.53/2,378.52
  6. Step 6: Final answer
    x = 1,376.37

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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.