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Finding the Fourth Proportional to 5,489.92, 7,575.28 and 3,100

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Solution

The fourth proportional to 5,489.92, 7,575.28 and 3,100 is: 4,277.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.92 : 7,575.28 = 3,100 : x
  2. Step 2: Convert to fraction form
    5,489.92/7,575.28 = 3,100/x
  3. Step 3: Cross multiply
    5,489.92x = 7,575.28 × 3,100
  4. Step 4: Simplify right side
    5,489.92x = 23,483,368
  5. Step 5: Solve for x
    x = 23,483,368/5,489.92
  6. Step 6: Final answer
    x = 4,277.54

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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.