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Finding the Fourth Proportional to 5,408, 7,463.04 and 3,200

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Solution

The fourth proportional to 5,408, 7,463.04 and 3,200 is: 4,416

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,408 : 7,463.04 = 3,200 : x
  2. Step 2: Convert to fraction form
    5,408/7,463.04 = 3,200/x
  3. Step 3: Cross multiply
    5,408x = 7,463.04 × 3,200
  4. Step 4: Simplify right side
    5,408x = 23,881,728
  5. Step 5: Solve for x
    x = 23,881,728/5,408
  6. Step 6: Final answer
    x = 4,416

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.