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Finding the Fourth Proportional to 4,978.67, 7,463.14 and 4,239.95

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Solution

The fourth proportional to 4,978.67, 7,463.14 and 4,239.95 is: 6,355.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.67 : 7,463.14 = 4,239.95 : x
  2. Step 2: Convert to fraction form
    4,978.67/7,463.14 = 4,239.95/x
  3. Step 3: Cross multiply
    4,978.67x = 7,463.14 × 4,239.95
  4. Step 4: Simplify right side
    4,978.67x = 31,643,292.53
  5. Step 5: Solve for x
    x = 31,643,292.53/4,978.67
  6. Step 6: Final answer
    x = 6,355.78

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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.