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Finding the Fourth Proportional to 5,189.76, 7,778.88 and 2,448

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Solution

The fourth proportional to 5,189.76, 7,778.88 and 2,448 is: 3,669.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189.76 : 7,778.88 = 2,448 : x
  2. Step 2: Convert to fraction form
    5,189.76/7,778.88 = 2,448/x
  3. Step 3: Cross multiply
    5,189.76x = 7,778.88 × 2,448
  4. Step 4: Simplify right side
    5,189.76x = 19,042,698.24
  5. Step 5: Solve for x
    x = 19,042,698.24/5,189.76
  6. Step 6: Final answer
    x = 3,669.28

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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.