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Finding the Fourth Proportional to 10,807.65, 16,200.33 and 7,838.66

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Solution

The fourth proportional to 10,807.65, 16,200.33 and 7,838.66 is: 11,749.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,807.65 : 16,200.33 = 7,838.66 : x
  2. Step 2: Convert to fraction form
    10,807.65/16,200.33 = 7,838.66/x
  3. Step 3: Cross multiply
    10,807.65x = 16,200.33 × 7,838.66
  4. Step 4: Simplify right side
    10,807.65x = 126,988,797.76
  5. Step 5: Solve for x
    x = 126,988,797.76/10,807.65
  6. Step 6: Final answer
    x = 11,749.90

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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.