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Finding the Fourth Proportional to 15,643.97, 23,469.02 and 6,878.86

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Solution

The fourth proportional to 15,643.97, 23,469.02 and 6,878.86 is: 10,319.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,643.97 : 23,469.02 = 6,878.86 : x
  2. Step 2: Convert to fraction form
    15,643.97/23,469.02 = 6,878.86/x
  3. Step 3: Cross multiply
    15,643.97x = 23,469.02 × 6,878.86
  4. Step 4: Simplify right side
    15,643.97x = 161,440,079.65
  5. Step 5: Solve for x
    x = 161,440,079.65/15,643.97
  6. Step 6: Final answer
    x = 10,319.64

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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.