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Finding the Fourth Proportional to 7,139.76, 10,698.12 and 4,398

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Solution

The fourth proportional to 7,139.76, 10,698.12 and 4,398 is: 6,589.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,139.76 : 10,698.12 = 4,398 : x
  2. Step 2: Convert to fraction form
    7,139.76/10,698.12 = 4,398/x
  3. Step 3: Cross multiply
    7,139.76x = 10,698.12 × 4,398
  4. Step 4: Simplify right side
    7,139.76x = 47,050,331.76
  5. Step 5: Solve for x
    x = 47,050,331.76/7,139.76
  6. Step 6: Final answer
    x = 6,589.90

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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.