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Finding the Fourth Proportional to 8,656.74, 12,964.86 and 4,260.06

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Solution

The fourth proportional to 8,656.74, 12,964.86 and 4,260.06 is: 6,380.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,656.74 : 12,964.86 = 4,260.06 : x
  2. Step 2: Convert to fraction form
    8,656.74/12,964.86 = 4,260.06/x
  3. Step 3: Cross multiply
    8,656.74x = 12,964.86 × 4,260.06
  4. Step 4: Simplify right side
    8,656.74x = 55,231,081.49
  5. Step 5: Solve for x
    x = 55,231,081.49/8,656.74
  6. Step 6: Final answer
    x = 6,380.12

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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.