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Finding the Fourth Proportional to 10,609.54, 15,914.16 and 3,214.15

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Solution

The fourth proportional to 10,609.54, 15,914.16 and 3,214.15 is: 4,821.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,609.54 : 15,914.16 = 3,214.15 : x
  2. Step 2: Convert to fraction form
    10,609.54/15,914.16 = 3,214.15/x
  3. Step 3: Cross multiply
    10,609.54x = 15,914.16 × 3,214.15
  4. Step 4: Simplify right side
    10,609.54x = 51,150,497.36
  5. Step 5: Solve for x
    x = 51,150,497.36/10,609.54
  6. Step 6: Final answer
    x = 4,821.18

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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.