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Finding the Fourth Proportional to 8,574.84, 12,850.65 and 5,449.86

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Solution

The fourth proportional to 8,574.84, 12,850.65 and 5,449.86 is: 8,167.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,574.84 : 12,850.65 = 5,449.86 : x
  2. Step 2: Convert to fraction form
    8,574.84/12,850.65 = 5,449.86/x
  3. Step 3: Cross multiply
    8,574.84x = 12,850.65 × 5,449.86
  4. Step 4: Simplify right side
    8,574.84x = 70,034,243.41
  5. Step 5: Solve for x
    x = 70,034,243.41/8,574.84
  6. Step 6: Final answer
    x = 8,167.41

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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.