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Finding the Fourth Proportional to 1,945.24, 2,917.87 and 712.74

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Solution

The fourth proportional to 1,945.24, 2,917.87 and 712.74 is: 1,069.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945.24 : 2,917.87 = 712.74 : x
  2. Step 2: Convert to fraction form
    1,945.24/2,917.87 = 712.74/x
  3. Step 3: Cross multiply
    1,945.24x = 2,917.87 × 712.74
  4. Step 4: Simplify right side
    1,945.24x = 2,079,682.66
  5. Step 5: Solve for x
    x = 2,079,682.66/1,945.24
  6. Step 6: Final answer
    x = 1,069.11

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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.