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Finding the Fourth Proportional to 11,077.71, 16,577.55 and 6,919.67

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Solution

The fourth proportional to 11,077.71, 16,577.55 and 6,919.67 is: 10,355.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,077.71 : 16,577.55 = 6,919.67 : x
  2. Step 2: Convert to fraction form
    11,077.71/16,577.55 = 6,919.67/x
  3. Step 3: Cross multiply
    11,077.71x = 16,577.55 × 6,919.67
  4. Step 4: Simplify right side
    11,077.71x = 114,711,216.85
  5. Step 5: Solve for x
    x = 114,711,216.85/11,077.71
  6. Step 6: Final answer
    x = 10,355.14

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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.