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Finding the Fourth Proportional to 1,945.62, 2,916.90 and 971.22

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Solution

The fourth proportional to 1,945.62, 2,916.90 and 971.22 is: 1,456.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945.62 : 2,916.90 = 971.22 : x
  2. Step 2: Convert to fraction form
    1,945.62/2,916.90 = 971.22/x
  3. Step 3: Cross multiply
    1,945.62x = 2,916.90 × 971.22
  4. Step 4: Simplify right side
    1,945.62x = 2,832,951.62
  5. Step 5: Solve for x
    x = 2,832,951.62/1,945.62
  6. Step 6: Final answer
    x = 1,456.07

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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.