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Finding the Fourth Proportional to 7,408, 11,117.46 and 3,512.42

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Solution

The fourth proportional to 7,408, 11,117.46 and 3,512.42 is: 5,271.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,408 : 11,117.46 = 3,512.42 : x
  2. Step 2: Convert to fraction form
    7,408/11,117.46 = 3,512.42/x
  3. Step 3: Cross multiply
    7,408x = 11,117.46 × 3,512.42
  4. Step 4: Simplify right side
    7,408x = 39,049,188.85
  5. Step 5: Solve for x
    x = 39,049,188.85/7,408
  6. Step 6: Final answer
    x = 5,271.22

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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.