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Finding the Fourth Proportional to 4,805, 7,207.97 and 1,342.25

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Solution

The fourth proportional to 4,805, 7,207.97 and 1,342.25 is: 2,013.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,805 : 7,207.97 = 1,342.25 : x
  2. Step 2: Convert to fraction form
    4,805/7,207.97 = 1,342.25/x
  3. Step 3: Cross multiply
    4,805x = 7,207.97 × 1,342.25
  4. Step 4: Simplify right side
    4,805x = 9,674,901.09
  5. Step 5: Solve for x
    x = 9,674,901.09/4,805
  6. Step 6: Final answer
    x = 2,013.51

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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.