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Finding the Fourth Proportional to 7,768.84, 11,648.76 and 5,306.64

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Solution

The fourth proportional to 7,768.84, 11,648.76 and 5,306.64 is: 7,956.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.84 : 11,648.76 = 5,306.64 : x
  2. Step 2: Convert to fraction form
    7,768.84/11,648.76 = 5,306.64/x
  3. Step 3: Cross multiply
    7,768.84x = 11,648.76 × 5,306.64
  4. Step 4: Simplify right side
    7,768.84x = 61,815,775.77
  5. Step 5: Solve for x
    x = 61,815,775.77/7,768.84
  6. Step 6: Final answer
    x = 7,956.89

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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.