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Finding the Fourth Proportional to 13,177, 19,763.34 and 9,269.56

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Solution

The fourth proportional to 13,177, 19,763.34 and 9,269.56 is: 13,902.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,177 : 19,763.34 = 9,269.56 : x
  2. Step 2: Convert to fraction form
    13,177/19,763.34 = 9,269.56/x
  3. Step 3: Cross multiply
    13,177x = 19,763.34 × 9,269.56
  4. Step 4: Simplify right side
    13,177x = 183,197,465.93
  5. Step 5: Solve for x
    x = 183,197,465.93/13,177
  6. Step 6: Final answer
    x = 13,902.82

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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.