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Finding the Fourth Proportional to 8,312.56, 12,468.48 and 3,382

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Solution

The fourth proportional to 8,312.56, 12,468.48 and 3,382 is: 5,072.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.56 : 12,468.48 = 3,382 : x
  2. Step 2: Convert to fraction form
    8,312.56/12,468.48 = 3,382/x
  3. Step 3: Cross multiply
    8,312.56x = 12,468.48 × 3,382
  4. Step 4: Simplify right side
    8,312.56x = 42,168,399.36
  5. Step 5: Solve for x
    x = 42,168,399.36/8,312.56
  6. Step 6: Final answer
    x = 5,072.85

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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.