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Finding the Fourth Proportional to 7,141.76, 9,856.80 and 3,998.72

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Solution

The fourth proportional to 7,141.76, 9,856.80 and 3,998.72 is: 5,518.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.76 : 9,856.80 = 3,998.72 : x
  2. Step 2: Convert to fraction form
    7,141.76/9,856.80 = 3,998.72/x
  3. Step 3: Cross multiply
    7,141.76x = 9,856.80 × 3,998.72
  4. Step 4: Simplify right side
    7,141.76x = 39,414,583.30
  5. Step 5: Solve for x
    x = 39,414,583.30/7,141.76
  6. Step 6: Final answer
    x = 5,518.89

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1.5x scale

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.