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Finding the Fourth Proportional to 3,147.93, 4,721.90 and 1,297.76

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Solution

The fourth proportional to 3,147.93, 4,721.90 and 1,297.76 is: 1,946.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147.93 : 4,721.90 = 1,297.76 : x
  2. Step 2: Convert to fraction form
    3,147.93/4,721.90 = 1,297.76/x
  3. Step 3: Cross multiply
    3,147.93x = 4,721.90 × 1,297.76
  4. Step 4: Simplify right side
    3,147.93x = 6,127,862.85
  5. Step 5: Solve for x
    x = 6,127,862.85/3,147.93
  6. Step 6: Final answer
    x = 1,946.63

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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.