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Finding the Fourth Proportional to 10,419.92, 15,624.48 and 8,222.48

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Solution

The fourth proportional to 10,419.92, 15,624.48 and 8,222.48 is: 12,329.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,419.92 : 15,624.48 = 8,222.48 : x
  2. Step 2: Convert to fraction form
    10,419.92/15,624.48 = 8,222.48/x
  3. Step 3: Cross multiply
    10,419.92x = 15,624.48 × 8,222.48
  4. Step 4: Simplify right side
    10,419.92x = 128,471,974.31
  5. Step 5: Solve for x
    x = 128,471,974.31/10,419.92
  6. Step 6: Final answer
    x = 12,329.46

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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.