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Finding the Fourth Proportional to 9,805, 13,530.92 and 5,389

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Solution

The fourth proportional to 9,805, 13,530.92 and 5,389 is: 7,436.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,805 : 13,530.92 = 5,389 : x
  2. Step 2: Convert to fraction form
    9,805/13,530.92 = 5,389/x
  3. Step 3: Cross multiply
    9,805x = 13,530.92 × 5,389
  4. Step 4: Simplify right side
    9,805x = 72,918,127.88
  5. Step 5: Solve for x
    x = 72,918,127.88/9,805
  6. Step 6: Final answer
    x = 7,436.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.