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Finding the Fourth Proportional to 7,148.92, 9,865.78 and 4,005

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Solution

The fourth proportional to 7,148.92, 9,865.78 and 4,005 is: 5,527.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.92 : 9,865.78 = 4,005 : x
  2. Step 2: Convert to fraction form
    7,148.92/9,865.78 = 4,005/x
  3. Step 3: Cross multiply
    7,148.92x = 9,865.78 × 4,005
  4. Step 4: Simplify right side
    7,148.92x = 39,512,448.90
  5. Step 5: Solve for x
    x = 39,512,448.90/7,148.92
  6. Step 6: Final answer
    x = 5,527.05

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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.