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Finding the Fourth Proportional to 10,406, 15,611.16 and 3,289.76

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Solution

The fourth proportional to 10,406, 15,611.16 and 3,289.76 is: 4,935.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,406 : 15,611.16 = 3,289.76 : x
  2. Step 2: Convert to fraction form
    10,406/15,611.16 = 3,289.76/x
  3. Step 3: Cross multiply
    10,406x = 15,611.16 × 3,289.76
  4. Step 4: Simplify right side
    10,406x = 51,356,969.72
  5. Step 5: Solve for x
    x = 51,356,969.72/10,406
  6. Step 6: Final answer
    x = 4,935.32

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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.