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Finding the Fourth Proportional to 7,952.76, 11,929.17 and 2,758.64

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Solution

The fourth proportional to 7,952.76, 11,929.17 and 2,758.64 is: 4,137.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,952.76 : 11,929.17 = 2,758.64 : x
  2. Step 2: Convert to fraction form
    7,952.76/11,929.17 = 2,758.64/x
  3. Step 3: Cross multiply
    7,952.76x = 11,929.17 × 2,758.64
  4. Step 4: Simplify right side
    7,952.76x = 32,908,225.88
  5. Step 5: Solve for x
    x = 32,908,225.88/7,952.76
  6. Step 6: Final answer
    x = 4,137.96

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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.