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Finding the Fourth Proportional to 7,758.32, 11,637.12 and 2,564

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Solution

The fourth proportional to 7,758.32, 11,637.12 and 2,564 is: 3,845.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.32 : 11,637.12 = 2,564 : x
  2. Step 2: Convert to fraction form
    7,758.32/11,637.12 = 2,564/x
  3. Step 3: Cross multiply
    7,758.32x = 11,637.12 × 2,564
  4. Step 4: Simplify right side
    7,758.32x = 29,837,575.68
  5. Step 5: Solve for x
    x = 29,837,575.68/7,758.32
  6. Step 6: Final answer
    x = 3,845.88

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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.