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Finding the Fourth Proportional to 12,287.10, 18,394.20 and 11,566.20

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Solution

The fourth proportional to 12,287.10, 18,394.20 and 11,566.20 is: 17,314.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,287.10 : 18,394.20 = 11,566.20 : x
  2. Step 2: Convert to fraction form
    12,287.10/18,394.20 = 11,566.20/x
  3. Step 3: Cross multiply
    12,287.10x = 18,394.20 × 11,566.20
  4. Step 4: Simplify right side
    12,287.10x = 212,750,996.04
  5. Step 5: Solve for x
    x = 212,750,996.04/12,287.10
  6. Step 6: Final answer
    x = 17,314.99

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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.