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Finding the Fourth Proportional to 10,104, 15,162.80 and 3,530.16

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Solution

The fourth proportional to 10,104, 15,162.80 and 3,530.16 is: 5,297.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,104 : 15,162.80 = 3,530.16 : x
  2. Step 2: Convert to fraction form
    10,104/15,162.80 = 3,530.16/x
  3. Step 3: Cross multiply
    10,104x = 15,162.80 × 3,530.16
  4. Step 4: Simplify right side
    10,104x = 53,527,110.05
  5. Step 5: Solve for x
    x = 53,527,110.05/10,104
  6. Step 6: Final answer
    x = 5,297.62

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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.