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Finding the Fourth Proportional to 10,444.50, 15,667.56 and 3,519

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Solution

The fourth proportional to 10,444.50, 15,667.56 and 3,519 is: 5,278.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,444.50 : 15,667.56 = 3,519 : x
  2. Step 2: Convert to fraction form
    10,444.50/15,667.56 = 3,519/x
  3. Step 3: Cross multiply
    10,444.50x = 15,667.56 × 3,519
  4. Step 4: Simplify right side
    10,444.50x = 55,134,143.64
  5. Step 5: Solve for x
    x = 55,134,143.64/10,444.50
  6. Step 6: Final answer
    x = 5,278.77

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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.