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Finding the Fourth Proportional to 9,675, 13,351.50 and 5,259

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Solution

The fourth proportional to 9,675, 13,351.50 and 5,259 is: 7,257.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,675 : 13,351.50 = 5,259 : x
  2. Step 2: Convert to fraction form
    9,675/13,351.50 = 5,259/x
  3. Step 3: Cross multiply
    9,675x = 13,351.50 × 5,259
  4. Step 4: Simplify right side
    9,675x = 70,215,538.50
  5. Step 5: Solve for x
    x = 70,215,538.50/9,675
  6. Step 6: Final answer
    x = 7,257.42

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1.5x scale

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.