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Finding the Fourth Proportional to 6,119.31, 9,135 and 5,685.66

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Solution

The fourth proportional to 6,119.31, 9,135 and 5,685.66 is: 8,487.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,119.31 : 9,135 = 5,685.66 : x
  2. Step 2: Convert to fraction form
    6,119.31/9,135 = 5,685.66/x
  3. Step 3: Cross multiply
    6,119.31x = 9,135 × 5,685.66
  4. Step 4: Simplify right side
    6,119.31x = 51,938,504.10
  5. Step 5: Solve for x
    x = 51,938,504.10/6,119.31
  6. Step 6: Final answer
    x = 8,487.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.