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Finding the Fourth Proportional to 2,906.80, 4,019.16 and 2,537.76

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Solution

The fourth proportional to 2,906.80, 4,019.16 and 2,537.76 is: 3,508.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.80 : 4,019.16 = 2,537.76 : x
  2. Step 2: Convert to fraction form
    2,906.80/4,019.16 = 2,537.76/x
  3. Step 3: Cross multiply
    2,906.80x = 4,019.16 × 2,537.76
  4. Step 4: Simplify right side
    2,906.80x = 10,199,663.48
  5. Step 5: Solve for x
    x = 10,199,663.48/2,906.80
  6. Step 6: Final answer
    x = 3,508.90

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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.