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Finding the Fourth Proportional to 8,321.80, 11,474.76 and 5,670.76

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Solution

The fourth proportional to 8,321.80, 11,474.76 and 5,670.76 is: 7,819.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,321.80 : 11,474.76 = 5,670.76 : x
  2. Step 2: Convert to fraction form
    8,321.80/11,474.76 = 5,670.76/x
  3. Step 3: Cross multiply
    8,321.80x = 11,474.76 × 5,670.76
  4. Step 4: Simplify right side
    8,321.80x = 65,070,610.02
  5. Step 5: Solve for x
    x = 65,070,610.02/8,321.80
  6. Step 6: Final answer
    x = 7,819.30

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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.