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Finding the Fourth Proportional to 2,945.52, 4,418 and 997.50

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Solution

The fourth proportional to 2,945.52, 4,418 and 997.50 is: 1,496.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,945.52 : 4,418 = 997.50 : x
  2. Step 2: Convert to fraction form
    2,945.52/4,418 = 997.50/x
  3. Step 3: Cross multiply
    2,945.52x = 4,418 × 997.50
  4. Step 4: Simplify right side
    2,945.52x = 4,406,955
  5. Step 5: Solve for x
    x = 4,406,955/2,945.52
  6. Step 6: Final answer
    x = 1,496.16

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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.