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Finding the Fourth Proportional to 3,100.53, 4,650.80 and 1,152.34

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Solution

The fourth proportional to 3,100.53, 4,650.80 and 1,152.34 is: 1,728.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.53 : 4,650.80 = 1,152.34 : x
  2. Step 2: Convert to fraction form
    3,100.53/4,650.80 = 1,152.34/x
  3. Step 3: Cross multiply
    3,100.53x = 4,650.80 × 1,152.34
  4. Step 4: Simplify right side
    3,100.53x = 5,359,302.87
  5. Step 5: Solve for x
    x = 5,359,302.87/3,100.53
  6. Step 6: Final answer
    x = 1,728.51

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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.