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Finding the Fourth Proportional to 6,987.30, 10,476.90 and 2,823.90

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Solution

The fourth proportional to 6,987.30, 10,476.90 and 2,823.90 is: 4,234.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,987.30 : 10,476.90 = 2,823.90 : x
  2. Step 2: Convert to fraction form
    6,987.30/10,476.90 = 2,823.90/x
  3. Step 3: Cross multiply
    6,987.30x = 10,476.90 × 2,823.90
  4. Step 4: Simplify right side
    6,987.30x = 29,585,717.91
  5. Step 5: Solve for x
    x = 29,585,717.91/6,987.30
  6. Step 6: Final answer
    x = 4,234.21

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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.