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Finding the Fourth Proportional to 8,656.53, 12,986.04 and 2,731.40

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Solution

The fourth proportional to 8,656.53, 12,986.04 and 2,731.40 is: 4,097.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,656.53 : 12,986.04 = 2,731.40 : x
  2. Step 2: Convert to fraction form
    8,656.53/12,986.04 = 2,731.40/x
  3. Step 3: Cross multiply
    8,656.53x = 12,986.04 × 2,731.40
  4. Step 4: Simplify right side
    8,656.53x = 35,470,063.67
  5. Step 5: Solve for x
    x = 35,470,063.67/8,656.53
  6. Step 6: Final answer
    x = 4,097.49

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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.