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Finding the Fourth Proportional to 8,382.89, 12,574.31 and 3,188.77

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Solution

The fourth proportional to 8,382.89, 12,574.31 and 3,188.77 is: 4,783.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,382.89 : 12,574.31 = 3,188.77 : x
  2. Step 2: Convert to fraction form
    8,382.89/12,574.31 = 3,188.77/x
  3. Step 3: Cross multiply
    8,382.89x = 12,574.31 × 3,188.77
  4. Step 4: Simplify right side
    8,382.89x = 40,096,535.12
  5. Step 5: Solve for x
    x = 40,096,535.12/8,382.89
  6. Step 6: Final answer
    x = 4,783.14

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1.5x scale

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.