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Finding the Fourth Proportional to 9,808.80, 14,691.60 and 6,871.20

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Solution

The fourth proportional to 9,808.80, 14,691.60 and 6,871.20 is: 10,291.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,808.80 : 14,691.60 = 6,871.20 : x
  2. Step 2: Convert to fraction form
    9,808.80/14,691.60 = 6,871.20/x
  3. Step 3: Cross multiply
    9,808.80x = 14,691.60 × 6,871.20
  4. Step 4: Simplify right side
    9,808.80x = 100,948,921.92
  5. Step 5: Solve for x
    x = 100,948,921.92/9,808.80
  6. Step 6: Final answer
    x = 10,291.67

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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.