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Finding the Fourth Proportional to 8,643.80, 12,964.28 and 3,096.32

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Solution

The fourth proportional to 8,643.80, 12,964.28 and 3,096.32 is: 4,643.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,643.80 : 12,964.28 = 3,096.32 : x
  2. Step 2: Convert to fraction form
    8,643.80/12,964.28 = 3,096.32/x
  3. Step 3: Cross multiply
    8,643.80x = 12,964.28 × 3,096.32
  4. Step 4: Simplify right side
    8,643.80x = 40,141,479.15
  5. Step 5: Solve for x
    x = 40,141,479.15/8,643.80
  6. Step 6: Final answer
    x = 4,643.96

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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.