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Finding the Fourth Proportional to 9,818.46, 13,559.10 and 8,393.88

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Solution

The fourth proportional to 9,818.46, 13,559.10 and 8,393.88 is: 11,591.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,818.46 : 13,559.10 = 8,393.88 : x
  2. Step 2: Convert to fraction form
    9,818.46/13,559.10 = 8,393.88/x
  3. Step 3: Cross multiply
    9,818.46x = 13,559.10 × 8,393.88
  4. Step 4: Simplify right side
    9,818.46x = 113,813,458.31
  5. Step 5: Solve for x
    x = 113,813,458.31/9,818.46
  6. Step 6: Final answer
    x = 11,591.78

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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.