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Finding the Fourth Proportional to 7,061.82, 9,745.62 and 3,918

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Solution

The fourth proportional to 7,061.82, 9,745.62 and 3,918 is: 5,407.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,061.82 : 9,745.62 = 3,918 : x
  2. Step 2: Convert to fraction form
    7,061.82/9,745.62 = 3,918/x
  3. Step 3: Cross multiply
    7,061.82x = 9,745.62 × 3,918
  4. Step 4: Simplify right side
    7,061.82x = 38,183,339.16
  5. Step 5: Solve for x
    x = 38,183,339.16/7,061.82
  6. Step 6: Final answer
    x = 5,407.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.