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Finding the Fourth Proportional to 7,758.84, 11,631.67 and 3,540.58

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Solution

The fourth proportional to 7,758.84, 11,631.67 and 3,540.58 is: 5,307.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.84 : 11,631.67 = 3,540.58 : x
  2. Step 2: Convert to fraction form
    7,758.84/11,631.67 = 3,540.58/x
  3. Step 3: Cross multiply
    7,758.84x = 11,631.67 × 3,540.58
  4. Step 4: Simplify right side
    7,758.84x = 41,182,820.24
  5. Step 5: Solve for x
    x = 41,182,820.24/7,758.84
  6. Step 6: Final answer
    x = 5,307.86

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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.