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Finding the Fourth Proportional to 3,148.76, 4,721.11 and 1,505.27

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Solution

The fourth proportional to 3,148.76, 4,721.11 and 1,505.27 is: 2,256.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,148.76 : 4,721.11 = 1,505.27 : x
  2. Step 2: Convert to fraction form
    3,148.76/4,721.11 = 1,505.27/x
  3. Step 3: Cross multiply
    3,148.76x = 4,721.11 × 1,505.27
  4. Step 4: Simplify right side
    3,148.76x = 7,106,517.88
  5. Step 5: Solve for x
    x = 7,106,517.88/3,148.76
  6. Step 6: Final answer
    x = 2,256.93

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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.