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Finding the Fourth Proportional to 7,281.08, 10,047.90 and 4,138.28

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Solution

The fourth proportional to 7,281.08, 10,047.90 and 4,138.28 is: 5,710.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,281.08 : 10,047.90 = 4,138.28 : x
  2. Step 2: Convert to fraction form
    7,281.08/10,047.90 = 4,138.28/x
  3. Step 3: Cross multiply
    7,281.08x = 10,047.90 × 4,138.28
  4. Step 4: Simplify right side
    7,281.08x = 41,581,023.61
  5. Step 5: Solve for x
    x = 41,581,023.61/7,281.08
  6. Step 6: Final answer
    x = 5,710.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.