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Finding the Fourth Proportional to 7,774.88, 11,658.64 and 2,508.88

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Solution

The fourth proportional to 7,774.88, 11,658.64 and 2,508.88 is: 3,762.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.88 : 11,658.64 = 2,508.88 : x
  2. Step 2: Convert to fraction form
    7,774.88/11,658.64 = 2,508.88/x
  3. Step 3: Cross multiply
    7,774.88x = 11,658.64 × 2,508.88
  4. Step 4: Simplify right side
    7,774.88x = 29,250,128.72
  5. Step 5: Solve for x
    x = 29,250,128.72/7,774.88
  6. Step 6: Final answer
    x = 3,762.13

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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.