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Finding the Fourth Proportional to 5,318.70, 7,978.05 and 4,022.70

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Solution

The fourth proportional to 5,318.70, 7,978.05 and 4,022.70 is: 6,034.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,318.70 : 7,978.05 = 4,022.70 : x
  2. Step 2: Convert to fraction form
    5,318.70/7,978.05 = 4,022.70/x
  3. Step 3: Cross multiply
    5,318.70x = 7,978.05 × 4,022.70
  4. Step 4: Simplify right side
    5,318.70x = 32,093,301.74
  5. Step 5: Solve for x
    x = 32,093,301.74/5,318.70
  6. Step 6: Final answer
    x = 6,034.05

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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.