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Finding the Fourth Proportional to 8,662.16, 12,988.20 and 2,815.76

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Solution

The fourth proportional to 8,662.16, 12,988.20 and 2,815.76 is: 4,222.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,662.16 : 12,988.20 = 2,815.76 : x
  2. Step 2: Convert to fraction form
    8,662.16/12,988.20 = 2,815.76/x
  3. Step 3: Cross multiply
    8,662.16x = 12,988.20 × 2,815.76
  4. Step 4: Simplify right side
    8,662.16x = 36,571,654.03
  5. Step 5: Solve for x
    x = 36,571,654.03/8,662.16
  6. Step 6: Final answer
    x = 4,222.00

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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.