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Finding the Fourth Proportional to 10,936.80, 16,390.80 and 9,698.40

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Solution

The fourth proportional to 10,936.80, 16,390.80 and 9,698.40 is: 14,534.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,936.80 : 16,390.80 = 9,698.40 : x
  2. Step 2: Convert to fraction form
    10,936.80/16,390.80 = 9,698.40/x
  3. Step 3: Cross multiply
    10,936.80x = 16,390.80 × 9,698.40
  4. Step 4: Simplify right side
    10,936.80x = 158,964,534.72
  5. Step 5: Solve for x
    x = 158,964,534.72/10,936.80
  6. Step 6: Final answer
    x = 14,534.83

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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.