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Finding the Fourth Proportional to 9,798.57, 13,521.96 and 8,380.44

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Solution

The fourth proportional to 9,798.57, 13,521.96 and 8,380.44 is: 11,564.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,798.57 : 13,521.96 = 8,380.44 : x
  2. Step 2: Convert to fraction form
    9,798.57/13,521.96 = 8,380.44/x
  3. Step 3: Cross multiply
    9,798.57x = 13,521.96 × 8,380.44
  4. Step 4: Simplify right side
    9,798.57x = 113,319,974.46
  5. Step 5: Solve for x
    x = 113,319,974.46/9,798.57
  6. Step 6: Final answer
    x = 11,564.95

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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.