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Finding the Fourth Proportional to 10,443.56, 15,665.04 and 3,869.60

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Solution

The fourth proportional to 10,443.56, 15,665.04 and 3,869.60 is: 5,804.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,443.56 : 15,665.04 = 3,869.60 : x
  2. Step 2: Convert to fraction form
    10,443.56/15,665.04 = 3,869.60/x
  3. Step 3: Cross multiply
    10,443.56x = 15,665.04 × 3,869.60
  4. Step 4: Simplify right side
    10,443.56x = 60,617,438.78
  5. Step 5: Solve for x
    x = 60,617,438.78/10,443.56
  6. Step 6: Final answer
    x = 5,804.29

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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.