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Finding the Fourth Proportional to 9,378.24, 12,951.65 and 8,113.21

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Solution

The fourth proportional to 9,378.24, 12,951.65 and 8,113.21 is: 11,204.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,378.24 : 12,951.65 = 8,113.21 : x
  2. Step 2: Convert to fraction form
    9,378.24/12,951.65 = 8,113.21/x
  3. Step 3: Cross multiply
    9,378.24x = 12,951.65 × 8,113.21
  4. Step 4: Simplify right side
    9,378.24x = 105,079,456.30
  5. Step 5: Solve for x
    x = 105,079,456.30/9,378.24
  6. Step 6: Final answer
    x = 11,204.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.