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Finding the Fourth Proportional to 6,382.60, 9,576.80 and 2,870.68

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Solution

The fourth proportional to 6,382.60, 9,576.80 and 2,870.68 is: 4,307.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,382.60 : 9,576.80 = 2,870.68 : x
  2. Step 2: Convert to fraction form
    6,382.60/9,576.80 = 2,870.68/x
  3. Step 3: Cross multiply
    6,382.60x = 9,576.80 × 2,870.68
  4. Step 4: Simplify right side
    6,382.60x = 27,491,928.22
  5. Step 5: Solve for x
    x = 27,491,928.22/6,382.60
  6. Step 6: Final answer
    x = 4,307.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.