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Finding the Fourth Proportional to 5,489.61, 8,231.46 and 2,854.47

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Solution

The fourth proportional to 5,489.61, 8,231.46 and 2,854.47 is: 4,280.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.61 : 8,231.46 = 2,854.47 : x
  2. Step 2: Convert to fraction form
    5,489.61/8,231.46 = 2,854.47/x
  3. Step 3: Cross multiply
    5,489.61x = 8,231.46 × 2,854.47
  4. Step 4: Simplify right side
    5,489.61x = 23,496,455.63
  5. Step 5: Solve for x
    x = 23,496,455.63/5,489.61
  6. Step 6: Final answer
    x = 4,280.17

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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.