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Finding the Fourth Proportional to 2,045.16, 3,065.31 and 745.11

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Solution

The fourth proportional to 2,045.16, 3,065.31 and 745.11 is: 1,116.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.16 : 3,065.31 = 745.11 : x
  2. Step 2: Convert to fraction form
    2,045.16/3,065.31 = 745.11/x
  3. Step 3: Cross multiply
    2,045.16x = 3,065.31 × 745.11
  4. Step 4: Simplify right side
    2,045.16x = 2,283,993.13
  5. Step 5: Solve for x
    x = 2,283,993.13/2,045.16
  6. Step 6: Final answer
    x = 1,116.78

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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.