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Finding the Fourth Proportional to 2,400.90, 3,580.62 and 2,167.62

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Solution

The fourth proportional to 2,400.90, 3,580.62 and 2,167.62 is: 3,232.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400.90 : 3,580.62 = 2,167.62 : x
  2. Step 2: Convert to fraction form
    2,400.90/3,580.62 = 2,167.62/x
  3. Step 3: Cross multiply
    2,400.90x = 3,580.62 × 2,167.62
  4. Step 4: Simplify right side
    2,400.90x = 7,761,423.52
  5. Step 5: Solve for x
    x = 7,761,423.52/2,400.90
  6. Step 6: Final answer
    x = 3,232.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.