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Finding the Fourth Proportional to 7,230.75, 9,978.45 and 3,918.75

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Solution

The fourth proportional to 7,230.75, 9,978.45 and 3,918.75 is: 5,407.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,230.75 : 9,978.45 = 3,918.75 : x
  2. Step 2: Convert to fraction form
    7,230.75/9,978.45 = 3,918.75/x
  3. Step 3: Cross multiply
    7,230.75x = 9,978.45 × 3,918.75
  4. Step 4: Simplify right side
    7,230.75x = 39,103,050.94
  5. Step 5: Solve for x
    x = 39,103,050.94/7,230.75
  6. Step 6: Final answer
    x = 5,407.88

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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.