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Finding the Fourth Proportional to 9,323.78, 13,986.30 and 3,167.78

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Solution

The fourth proportional to 9,323.78, 13,986.30 and 3,167.78 is: 4,751.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,323.78 : 13,986.30 = 3,167.78 : x
  2. Step 2: Convert to fraction form
    9,323.78/13,986.30 = 3,167.78/x
  3. Step 3: Cross multiply
    9,323.78x = 13,986.30 × 3,167.78
  4. Step 4: Simplify right side
    9,323.78x = 44,305,521.41
  5. Step 5: Solve for x
    x = 44,305,521.41/9,323.78
  6. Step 6: Final answer
    x = 4,751.88

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1.5x scale

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.