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Finding the Fourth Proportional to 3,100.76, 4,651.48 and 1,021.28

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Solution

The fourth proportional to 3,100.76, 4,651.48 and 1,021.28 is: 1,532.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.76 : 4,651.48 = 1,021.28 : x
  2. Step 2: Convert to fraction form
    3,100.76/4,651.48 = 1,021.28/x
  3. Step 3: Cross multiply
    3,100.76x = 4,651.48 × 1,021.28
  4. Step 4: Simplify right side
    3,100.76x = 4,750,475.02
  5. Step 5: Solve for x
    x = 4,750,475.02/3,100.76
  6. Step 6: Final answer
    x = 1,532.04

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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.