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Finding the Fourth Proportional to 9,935, 13,710.30 and 5,519

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Solution

The fourth proportional to 9,935, 13,710.30 and 5,519 is: 7,616.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,935 : 13,710.30 = 5,519 : x
  2. Step 2: Convert to fraction form
    9,935/13,710.30 = 5,519/x
  3. Step 3: Cross multiply
    9,935x = 13,710.30 × 5,519
  4. Step 4: Simplify right side
    9,935x = 75,667,145.70
  5. Step 5: Solve for x
    x = 75,667,145.70/9,935
  6. Step 6: Final answer
    x = 7,616.22

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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.