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Finding the Fourth Proportional to 2,440.57, 3,661.08 and 978.92

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Solution

The fourth proportional to 2,440.57, 3,661.08 and 978.92 is: 1,468.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,440.57 : 3,661.08 = 978.92 : x
  2. Step 2: Convert to fraction form
    2,440.57/3,661.08 = 978.92/x
  3. Step 3: Cross multiply
    2,440.57x = 3,661.08 × 978.92
  4. Step 4: Simplify right side
    2,440.57x = 3,583,904.43
  5. Step 5: Solve for x
    x = 3,583,904.43/2,440.57
  6. Step 6: Final answer
    x = 1,468.47

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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.