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Finding the Fourth Proportional to 1,945.24, 2,916.91 and 712.78

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Solution

The fourth proportional to 1,945.24, 2,916.91 and 712.78 is: 1,068.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945.24 : 2,916.91 = 712.78 : x
  2. Step 2: Convert to fraction form
    1,945.24/2,916.91 = 712.78/x
  3. Step 3: Cross multiply
    1,945.24x = 2,916.91 × 712.78
  4. Step 4: Simplify right side
    1,945.24x = 2,079,115.11
  5. Step 5: Solve for x
    x = 2,079,115.11/1,945.24
  6. Step 6: Final answer
    x = 1,068.82

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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.