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Finding the Fourth Proportional to 10,774.61, 16,162.11 and 3,378.90

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Solution

The fourth proportional to 10,774.61, 16,162.11 and 3,378.90 is: 5,068.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,774.61 : 16,162.11 = 3,378.90 : x
  2. Step 2: Convert to fraction form
    10,774.61/16,162.11 = 3,378.90/x
  3. Step 3: Cross multiply
    10,774.61x = 16,162.11 × 3,378.90
  4. Step 4: Simplify right side
    10,774.61x = 54,610,153.48
  5. Step 5: Solve for x
    x = 54,610,153.48/10,774.61
  6. Step 6: Final answer
    x = 5,068.41

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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.