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Finding the Fourth Proportional to 6,382, 8,807.72 and 3,587.52

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Solution

The fourth proportional to 6,382, 8,807.72 and 3,587.52 is: 4,951.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,382 : 8,807.72 = 3,587.52 : x
  2. Step 2: Convert to fraction form
    6,382/8,807.72 = 3,587.52/x
  3. Step 3: Cross multiply
    6,382x = 8,807.72 × 3,587.52
  4. Step 4: Simplify right side
    6,382x = 31,597,871.65
  5. Step 5: Solve for x
    x = 31,597,871.65/6,382
  6. Step 6: Final answer
    x = 4,951.09

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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.