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Finding the Fourth Proportional to 9,778.46, 13,478.20 and 8,006.99

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Solution

The fourth proportional to 9,778.46, 13,478.20 and 8,006.99 is: 11,036.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778.46 : 13,478.20 = 8,006.99 : x
  2. Step 2: Convert to fraction form
    9,778.46/13,478.20 = 8,006.99/x
  3. Step 3: Cross multiply
    9,778.46x = 13,478.20 × 8,006.99
  4. Step 4: Simplify right side
    9,778.46x = 107,919,725.21
  5. Step 5: Solve for x
    x = 107,919,725.21/9,778.46
  6. Step 6: Final answer
    x = 11,036.48

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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.