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Finding the Fourth Proportional to 3,102.48, 4,652.88 and 911.04

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Solution

The fourth proportional to 3,102.48, 4,652.88 and 911.04 is: 1,366.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.48 : 4,652.88 = 911.04 : x
  2. Step 2: Convert to fraction form
    3,102.48/4,652.88 = 911.04/x
  3. Step 3: Cross multiply
    3,102.48x = 4,652.88 × 911.04
  4. Step 4: Simplify right side
    3,102.48x = 4,238,959.80
  5. Step 5: Solve for x
    x = 4,238,959.80/3,102.48
  6. Step 6: Final answer
    x = 1,366.31

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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.