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Finding the Fourth Proportional to 5,489.50, 7,575.54 and 3,005.50

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Solution

The fourth proportional to 5,489.50, 7,575.54 and 3,005.50 is: 4,147.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.50 : 7,575.54 = 3,005.50 : x
  2. Step 2: Convert to fraction form
    5,489.50/7,575.54 = 3,005.50/x
  3. Step 3: Cross multiply
    5,489.50x = 7,575.54 × 3,005.50
  4. Step 4: Simplify right side
    5,489.50x = 22,768,285.47
  5. Step 5: Solve for x
    x = 22,768,285.47/5,489.50
  6. Step 6: Final answer
    x = 4,147.61

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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.