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Finding the Fourth Proportional to 2,960.86, 4,440.14 and 985.88

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Solution

The fourth proportional to 2,960.86, 4,440.14 and 985.88 is: 1,478.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,960.86 : 4,440.14 = 985.88 : x
  2. Step 2: Convert to fraction form
    2,960.86/4,440.14 = 985.88/x
  3. Step 3: Cross multiply
    2,960.86x = 4,440.14 × 985.88
  4. Step 4: Simplify right side
    2,960.86x = 4,377,445.22
  5. Step 5: Solve for x
    x = 4,377,445.22/2,960.86
  6. Step 6: Final answer
    x = 1,478.44

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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.