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Finding the Fourth Proportional to 6,656, 9,984 and 2,039

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Solution

The fourth proportional to 6,656, 9,984 and 2,039 is: 3,058.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,656 : 9,984 = 2,039 : x
  2. Step 2: Convert to fraction form
    6,656/9,984 = 2,039/x
  3. Step 3: Cross multiply
    6,656x = 9,984 × 2,039
  4. Step 4: Simplify right side
    6,656x = 20,357,376
  5. Step 5: Solve for x
    x = 20,357,376/6,656
  6. Step 6: Final answer
    x = 3,058.50

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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.