Home / 10,977.82-16,466.70-5,138.53

Finding the Fourth Proportional to 10,977.82, 16,466.70 and 5,138.53

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Solution

The fourth proportional to 10,977.82, 16,466.70 and 5,138.53 is: 7,707.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,977.82 : 16,466.70 = 5,138.53 : x
  2. Step 2: Convert to fraction form
    10,977.82/16,466.70 = 5,138.53/x
  3. Step 3: Cross multiply
    10,977.82x = 16,466.70 × 5,138.53
  4. Step 4: Simplify right side
    10,977.82x = 84,614,631.95
  5. Step 5: Solve for x
    x = 84,614,631.95/10,977.82
  6. Step 6: Final answer
    x = 7,707.78

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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.