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Finding the Fourth Proportional to 4,987.92, 7,476.92 and 2,798.48

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Solution

The fourth proportional to 4,987.92, 7,476.92 and 2,798.48 is: 4,194.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,987.92 : 7,476.92 = 2,798.48 : x
  2. Step 2: Convert to fraction form
    4,987.92/7,476.92 = 2,798.48/x
  3. Step 3: Cross multiply
    4,987.92x = 7,476.92 × 2,798.48
  4. Step 4: Simplify right side
    4,987.92x = 20,924,011.08
  5. Step 5: Solve for x
    x = 20,924,011.08/4,987.92
  6. Step 6: Final answer
    x = 4,194.94

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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.