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Finding the Fourth Proportional to 7,643.79, 11,447.16 and 3,885.68

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Solution

The fourth proportional to 7,643.79, 11,447.16 and 3,885.68 is: 5,819.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.79 : 11,447.16 = 3,885.68 : x
  2. Step 2: Convert to fraction form
    7,643.79/11,447.16 = 3,885.68/x
  3. Step 3: Cross multiply
    7,643.79x = 11,447.16 × 3,885.68
  4. Step 4: Simplify right side
    7,643.79x = 44,480,029.29
  5. Step 5: Solve for x
    x = 44,480,029.29/7,643.79
  6. Step 6: Final answer
    x = 5,819.11

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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.