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Finding the Fourth Proportional to 12,066.40, 18,100.16 and 4,276

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Solution

The fourth proportional to 12,066.40, 18,100.16 and 4,276 is: 6,414.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,066.40 : 18,100.16 = 4,276 : x
  2. Step 2: Convert to fraction form
    12,066.40/18,100.16 = 4,276/x
  3. Step 3: Cross multiply
    12,066.40x = 18,100.16 × 4,276
  4. Step 4: Simplify right side
    12,066.40x = 77,396,284.16
  5. Step 5: Solve for x
    x = 77,396,284.16/12,066.40
  6. Step 6: Final answer
    x = 6,414.20

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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.