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Finding the Fourth Proportional to 6,685, 10,028.22 and 2,988.88

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Solution

The fourth proportional to 6,685, 10,028.22 and 2,988.88 is: 4,483.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,685 : 10,028.22 = 2,988.88 : x
  2. Step 2: Convert to fraction form
    6,685/10,028.22 = 2,988.88/x
  3. Step 3: Cross multiply
    6,685x = 10,028.22 × 2,988.88
  4. Step 4: Simplify right side
    6,685x = 29,973,146.19
  5. Step 5: Solve for x
    x = 29,973,146.19/6,685
  6. Step 6: Final answer
    x = 4,483.64

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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.