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Finding the Fourth Proportional to 7,799.98, 11,699.70 and 1,956.64

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Solution

The fourth proportional to 7,799.98, 11,699.70 and 1,956.64 is: 2,934.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,799.98 : 11,699.70 = 1,956.64 : x
  2. Step 2: Convert to fraction form
    7,799.98/11,699.70 = 1,956.64/x
  3. Step 3: Cross multiply
    7,799.98x = 11,699.70 × 1,956.64
  4. Step 4: Simplify right side
    7,799.98x = 22,892,101.01
  5. Step 5: Solve for x
    x = 22,892,101.01/7,799.98
  6. Step 6: Final answer
    x = 2,934.89

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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.