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Finding the Fourth Proportional to 3,152.48, 4,728.24 and 1,100

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Solution

The fourth proportional to 3,152.48, 4,728.24 and 1,100 is: 1,649.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.48 : 4,728.24 = 1,100 : x
  2. Step 2: Convert to fraction form
    3,152.48/4,728.24 = 1,100/x
  3. Step 3: Cross multiply
    3,152.48x = 4,728.24 × 1,100
  4. Step 4: Simplify right side
    3,152.48x = 5,201,064
  5. Step 5: Solve for x
    x = 5,201,064/3,152.48
  6. Step 6: Final answer
    x = 1,649.83

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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.