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Finding the Fourth Proportional to 8,382.54, 12,570.84 and 2,457.78

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Solution

The fourth proportional to 8,382.54, 12,570.84 and 2,457.78 is: 3,685.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,382.54 : 12,570.84 = 2,457.78 : x
  2. Step 2: Convert to fraction form
    8,382.54/12,570.84 = 2,457.78/x
  3. Step 3: Cross multiply
    8,382.54x = 12,570.84 × 2,457.78
  4. Step 4: Simplify right side
    8,382.54x = 30,896,359.14
  5. Step 5: Solve for x
    x = 30,896,359.14/8,382.54
  6. Step 6: Final answer
    x = 3,685.80

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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.