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Finding the Fourth Proportional to 7,881.28, 11,820.64 and 2,408

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Solution

The fourth proportional to 7,881.28, 11,820.64 and 2,408 is: 3,611.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881.28 : 11,820.64 = 2,408 : x
  2. Step 2: Convert to fraction form
    7,881.28/11,820.64 = 2,408/x
  3. Step 3: Cross multiply
    7,881.28x = 11,820.64 × 2,408
  4. Step 4: Simplify right side
    7,881.28x = 28,464,101.12
  5. Step 5: Solve for x
    x = 28,464,101.12/7,881.28
  6. Step 6: Final answer
    x = 3,611.61

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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.