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Finding the Fourth Proportional to 2,945.98, 4,418.43 and 971.56

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Solution

The fourth proportional to 2,945.98, 4,418.43 and 971.56 is: 1,457.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,945.98 : 4,418.43 = 971.56 : x
  2. Step 2: Convert to fraction form
    2,945.98/4,418.43 = 971.56/x
  3. Step 3: Cross multiply
    2,945.98x = 4,418.43 × 971.56
  4. Step 4: Simplify right side
    2,945.98x = 4,292,769.85
  5. Step 5: Solve for x
    x = 4,292,769.85/2,945.98
  6. Step 6: Final answer
    x = 1,457.16

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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.