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Finding the Fourth Proportional to 8,344, 11,515.05 and 4,759.54

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Solution

The fourth proportional to 8,344, 11,515.05 and 4,759.54 is: 6,568.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,344 : 11,515.05 = 4,759.54 : x
  2. Step 2: Convert to fraction form
    8,344/11,515.05 = 4,759.54/x
  3. Step 3: Cross multiply
    8,344x = 11,515.05 × 4,759.54
  4. Step 4: Simplify right side
    8,344x = 54,806,341.08
  5. Step 5: Solve for x
    x = 54,806,341.08/8,344
  6. Step 6: Final answer
    x = 6,568.35

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1.5x scale

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.