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Finding the Fourth Proportional to 6,608, 9,119.40 and 3,814.40

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Solution

The fourth proportional to 6,608, 9,119.40 and 3,814.40 is: 5,264.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,608 : 9,119.40 = 3,814.40 : x
  2. Step 2: Convert to fraction form
    6,608/9,119.40 = 3,814.40/x
  3. Step 3: Cross multiply
    6,608x = 9,119.40 × 3,814.40
  4. Step 4: Simplify right side
    6,608x = 34,785,039.36
  5. Step 5: Solve for x
    x = 34,785,039.36/6,608
  6. Step 6: Final answer
    x = 5,264.08

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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.