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Finding the Fourth Proportional to 8,309.76, 12,467.16 and 3,116.40

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Solution

The fourth proportional to 8,309.76, 12,467.16 and 3,116.40 is: 4,675.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.76 : 12,467.16 = 3,116.40 : x
  2. Step 2: Convert to fraction form
    8,309.76/12,467.16 = 3,116.40/x
  3. Step 3: Cross multiply
    8,309.76x = 12,467.16 × 3,116.40
  4. Step 4: Simplify right side
    8,309.76x = 38,852,657.42
  5. Step 5: Solve for x
    x = 38,852,657.42/8,309.76
  6. Step 6: Final answer
    x = 4,675.55

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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.