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Finding the Fourth Proportional to 10,091, 15,136.66 and 2,795

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Solution

The fourth proportional to 10,091, 15,136.66 and 2,795 is: 4,192.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,091 : 15,136.66 = 2,795 : x
  2. Step 2: Convert to fraction form
    10,091/15,136.66 = 2,795/x
  3. Step 3: Cross multiply
    10,091x = 15,136.66 × 2,795
  4. Step 4: Simplify right side
    10,091x = 42,306,964.70
  5. Step 5: Solve for x
    x = 42,306,964.70/10,091
  6. Step 6: Final answer
    x = 4,192.54

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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.