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Finding the Fourth Proportional to 10,635, 15,959.81 and 3,709.50

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Solution

The fourth proportional to 10,635, 15,959.81 and 3,709.50 is: 5,566.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,635 : 15,959.81 = 3,709.50 : x
  2. Step 2: Convert to fraction form
    10,635/15,959.81 = 3,709.50/x
  3. Step 3: Cross multiply
    10,635x = 15,959.81 × 3,709.50
  4. Step 4: Simplify right side
    10,635x = 59,202,896.65
  5. Step 5: Solve for x
    x = 59,202,896.65/10,635
  6. Step 6: Final answer
    x = 5,566.80

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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.