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Finding the Fourth Proportional to 8,829.64, 12,184.86 and 5,471.38

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Solution

The fourth proportional to 8,829.64, 12,184.86 and 5,471.38 is: 7,550.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,829.64 : 12,184.86 = 5,471.38 : x
  2. Step 2: Convert to fraction form
    8,829.64/12,184.86 = 5,471.38/x
  3. Step 3: Cross multiply
    8,829.64x = 12,184.86 × 5,471.38
  4. Step 4: Simplify right side
    8,829.64x = 66,667,999.31
  5. Step 5: Solve for x
    x = 66,667,999.31/8,829.64
  6. Step 6: Final answer
    x = 7,550.48

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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.