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Finding the Fourth Proportional to 8,961.78, 12,372.87 and 5,776.50

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Solution

The fourth proportional to 8,961.78, 12,372.87 and 5,776.50 is: 7,975.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,961.78 : 12,372.87 = 5,776.50 : x
  2. Step 2: Convert to fraction form
    8,961.78/12,372.87 = 5,776.50/x
  3. Step 3: Cross multiply
    8,961.78x = 12,372.87 × 5,776.50
  4. Step 4: Simplify right side
    8,961.78x = 71,471,883.56
  5. Step 5: Solve for x
    x = 71,471,883.56/8,961.78
  6. Step 6: Final answer
    x = 7,975.19

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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.