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Finding the Fourth Proportional to 9,882.90, 13,639.66 and 6,482.78

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Solution

The fourth proportional to 9,882.90, 13,639.66 and 6,482.78 is: 8,947.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,882.90 : 13,639.66 = 6,482.78 : x
  2. Step 2: Convert to fraction form
    9,882.90/13,639.66 = 6,482.78/x
  3. Step 3: Cross multiply
    9,882.90x = 13,639.66 × 6,482.78
  4. Step 4: Simplify right side
    9,882.90x = 88,422,881.80
  5. Step 5: Solve for x
    x = 88,422,881.80/9,882.90
  6. Step 6: Final answer
    x = 8,947.06

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