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Finding the Fourth Proportional to 4,769.92, 7,154.56 and 1,649.28

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Solution

The fourth proportional to 4,769.92, 7,154.56 and 1,649.28 is: 2,473.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,769.92 : 7,154.56 = 1,649.28 : x
  2. Step 2: Convert to fraction form
    4,769.92/7,154.56 = 1,649.28/x
  3. Step 3: Cross multiply
    4,769.92x = 7,154.56 × 1,649.28
  4. Step 4: Simplify right side
    4,769.92x = 11,799,872.72
  5. Step 5: Solve for x
    x = 11,799,872.72/4,769.92
  6. Step 6: Final answer
    x = 2,473.81

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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.