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Finding the Fourth Proportional to 2,040.18, 3,060.07 and 653.14

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Solution

The fourth proportional to 2,040.18, 3,060.07 and 653.14 is: 979.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040.18 : 3,060.07 = 653.14 : x
  2. Step 2: Convert to fraction form
    2,040.18/3,060.07 = 653.14/x
  3. Step 3: Cross multiply
    2,040.18x = 3,060.07 × 653.14
  4. Step 4: Simplify right side
    2,040.18x = 1,998,654.12
  5. Step 5: Solve for x
    x = 1,998,654.12/2,040.18
  6. Step 6: Final answer
    x = 979.65

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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.