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Finding the Fourth Proportional to 8,605.65, 12,913.16 and 3,340.86

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Solution

The fourth proportional to 8,605.65, 12,913.16 and 3,340.86 is: 5,013.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,605.65 : 12,913.16 = 3,340.86 : x
  2. Step 2: Convert to fraction form
    8,605.65/12,913.16 = 3,340.86/x
  3. Step 3: Cross multiply
    8,605.65x = 12,913.16 × 3,340.86
  4. Step 4: Simplify right side
    8,605.65x = 43,141,059.72
  5. Step 5: Solve for x
    x = 43,141,059.72/8,605.65
  6. Step 6: Final answer
    x = 5,013.11

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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.