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Finding the Fourth Proportional to 10,639.12, 15,955 and 4,067.16

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Solution

The fourth proportional to 10,639.12, 15,955 and 4,067.16 is: 6,099.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,639.12 : 15,955 = 4,067.16 : x
  2. Step 2: Convert to fraction form
    10,639.12/15,955 = 4,067.16/x
  3. Step 3: Cross multiply
    10,639.12x = 15,955 × 4,067.16
  4. Step 4: Simplify right side
    10,639.12x = 64,891,537.80
  5. Step 5: Solve for x
    x = 64,891,537.80/10,639.12
  6. Step 6: Final answer
    x = 6,099.33

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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.