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Finding the Fourth Proportional to 1,945.79, 2,917.31 and 971.20

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Solution

The fourth proportional to 1,945.79, 2,917.31 and 971.20 is: 1,456.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945.79 : 2,917.31 = 971.20 : x
  2. Step 2: Convert to fraction form
    1,945.79/2,917.31 = 971.20/x
  3. Step 3: Cross multiply
    1,945.79x = 2,917.31 × 971.20
  4. Step 4: Simplify right side
    1,945.79x = 2,833,279.32
  5. Step 5: Solve for x
    x = 2,833,279.32/1,945.79
  6. Step 6: Final answer
    x = 1,456.11

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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.