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Finding the Fourth Proportional to 4,960, 7,442.42 and 2,039.14

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Solution

The fourth proportional to 4,960, 7,442.42 and 2,039.14 is: 3,059.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,960 : 7,442.42 = 2,039.14 : x
  2. Step 2: Convert to fraction form
    4,960/7,442.42 = 2,039.14/x
  3. Step 3: Cross multiply
    4,960x = 7,442.42 × 2,039.14
  4. Step 4: Simplify right side
    4,960x = 15,176,136.32
  5. Step 5: Solve for x
    x = 15,176,136.32/4,960
  6. Step 6: Final answer
    x = 3,059.70

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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.