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Finding the Fourth Proportional to 8,508.96, 12,761.28 and 3,312

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Solution

The fourth proportional to 8,508.96, 12,761.28 and 3,312 is: 4,967.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,508.96 : 12,761.28 = 3,312 : x
  2. Step 2: Convert to fraction form
    8,508.96/12,761.28 = 3,312/x
  3. Step 3: Cross multiply
    8,508.96x = 12,761.28 × 3,312
  4. Step 4: Simplify right side
    8,508.96x = 42,265,359.36
  5. Step 5: Solve for x
    x = 42,265,359.36/8,508.96
  6. Step 6: Final answer
    x = 4,967.16

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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.