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Finding the Fourth Proportional to 2,337.20, 3,489.22 and 2,078

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Solution

The fourth proportional to 2,337.20, 3,489.22 and 2,078 is: 3,102.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.20 : 3,489.22 = 2,078 : x
  2. Step 2: Convert to fraction form
    2,337.20/3,489.22 = 2,078/x
  3. Step 3: Cross multiply
    2,337.20x = 3,489.22 × 2,078
  4. Step 4: Simplify right side
    2,337.20x = 7,250,599.16
  5. Step 5: Solve for x
    x = 7,250,599.16/2,337.20
  6. Step 6: Final answer
    x = 3,102.26

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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.