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Finding the Fourth Proportional to 15,309, 22,960.48 and 4,212.84

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Solution

The fourth proportional to 15,309, 22,960.48 and 4,212.84 is: 6,318.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,309 : 22,960.48 = 4,212.84 : x
  2. Step 2: Convert to fraction form
    15,309/22,960.48 = 4,212.84/x
  3. Step 3: Cross multiply
    15,309x = 22,960.48 × 4,212.84
  4. Step 4: Simplify right side
    15,309x = 96,728,828.56
  5. Step 5: Solve for x
    x = 96,728,828.56/15,309
  6. Step 6: Final answer
    x = 6,318.43

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1.5x scale

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.