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Finding the Fourth Proportional to 8,366, 12,549.72 and 2,210

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Solution

The fourth proportional to 8,366, 12,549.72 and 2,210 is: 3,315.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,366 : 12,549.72 = 2,210 : x
  2. Step 2: Convert to fraction form
    8,366/12,549.72 = 2,210/x
  3. Step 3: Cross multiply
    8,366x = 12,549.72 × 2,210
  4. Step 4: Simplify right side
    8,366x = 27,734,881.20
  5. Step 5: Solve for x
    x = 27,734,881.20/8,366
  6. Step 6: Final answer
    x = 3,315.19

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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.