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Finding the Fourth Proportional to 8,471.76, 11,691 and 4,745.76

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Solution

The fourth proportional to 8,471.76, 11,691 and 4,745.76 is: 6,549.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.76 : 11,691 = 4,745.76 : x
  2. Step 2: Convert to fraction form
    8,471.76/11,691 = 4,745.76/x
  3. Step 3: Cross multiply
    8,471.76x = 11,691 × 4,745.76
  4. Step 4: Simplify right side
    8,471.76x = 55,482,680.16
  5. Step 5: Solve for x
    x = 55,482,680.16/8,471.76
  6. Step 6: Final answer
    x = 6,549.13

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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.