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Finding the Fourth Proportional to 6,590.80, 9,886.56 and 2,207.88

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Solution

The fourth proportional to 6,590.80, 9,886.56 and 2,207.88 is: 3,311.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,590.80 : 9,886.56 = 2,207.88 : x
  2. Step 2: Convert to fraction form
    6,590.80/9,886.56 = 2,207.88/x
  3. Step 3: Cross multiply
    6,590.80x = 9,886.56 × 2,207.88
  4. Step 4: Simplify right side
    6,590.80x = 21,828,338.09
  5. Step 5: Solve for x
    x = 21,828,338.09/6,590.80
  6. Step 6: Final answer
    x = 3,311.94

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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.