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Finding the Fourth Proportional to 2,917.40, 4,367.70 and 2,712.40

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Solution

The fourth proportional to 2,917.40, 4,367.70 and 2,712.40 is: 4,060.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,917.40 : 4,367.70 = 2,712.40 : x
  2. Step 2: Convert to fraction form
    2,917.40/4,367.70 = 2,712.40/x
  3. Step 3: Cross multiply
    2,917.40x = 4,367.70 × 2,712.40
  4. Step 4: Simplify right side
    2,917.40x = 11,846,949.48
  5. Step 5: Solve for x
    x = 11,846,949.48/2,917.40
  6. Step 6: Final answer
    x = 4,060.79

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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.