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Finding the Fourth Proportional to 3,146.64, 4,721.12 and 1,297.91

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Solution

The fourth proportional to 3,146.64, 4,721.12 and 1,297.91 is: 1,947.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.64 : 4,721.12 = 1,297.91 : x
  2. Step 2: Convert to fraction form
    3,146.64/4,721.12 = 1,297.91/x
  3. Step 3: Cross multiply
    3,146.64x = 4,721.12 × 1,297.91
  4. Step 4: Simplify right side
    3,146.64x = 6,127,588.86
  5. Step 5: Solve for x
    x = 6,127,588.86/3,146.64
  6. Step 6: Final answer
    x = 1,947.34

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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.