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Finding the Fourth Proportional to 11,153.95, 16,731.12 and 5,309.39

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Solution

The fourth proportional to 11,153.95, 16,731.12 and 5,309.39 is: 7,964.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,153.95 : 16,731.12 = 5,309.39 : x
  2. Step 2: Convert to fraction form
    11,153.95/16,731.12 = 5,309.39/x
  3. Step 3: Cross multiply
    11,153.95x = 16,731.12 × 5,309.39
  4. Step 4: Simplify right side
    11,153.95x = 88,832,041.22
  5. Step 5: Solve for x
    x = 88,832,041.22/11,153.95
  6. Step 6: Final answer
    x = 7,964.18

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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.