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Finding the Fourth Proportional to 3,174.71, 4,381.12 and 1,758.44

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Solution

The fourth proportional to 3,174.71, 4,381.12 and 1,758.44 is: 2,426.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.71 : 4,381.12 = 1,758.44 : x
  2. Step 2: Convert to fraction form
    3,174.71/4,381.12 = 1,758.44/x
  3. Step 3: Cross multiply
    3,174.71x = 4,381.12 × 1,758.44
  4. Step 4: Simplify right side
    3,174.71x = 7,703,943.21
  5. Step 5: Solve for x
    x = 7,703,943.21/3,174.71
  6. Step 6: Final answer
    x = 2,426.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.