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Finding the Fourth Proportional to 3,071, 4,238.16 and 1,744.76

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Solution

The fourth proportional to 3,071, 4,238.16 and 1,744.76 is: 2,407.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071 : 4,238.16 = 1,744.76 : x
  2. Step 2: Convert to fraction form
    3,071/4,238.16 = 1,744.76/x
  3. Step 3: Cross multiply
    3,071x = 4,238.16 × 1,744.76
  4. Step 4: Simplify right side
    3,071x = 7,394,572.04
  5. Step 5: Solve for x
    x = 7,394,572.04/3,071
  6. Step 6: Final answer
    x = 2,407.87

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Half scale
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Double scale
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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.