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Finding the Fourth Proportional to 4,938.70, 7,408.05 and 4,744.30

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Solution

The fourth proportional to 4,938.70, 7,408.05 and 4,744.30 is: 7,116.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,938.70 : 7,408.05 = 4,744.30 : x
  2. Step 2: Convert to fraction form
    4,938.70/7,408.05 = 4,744.30/x
  3. Step 3: Cross multiply
    4,938.70x = 7,408.05 × 4,744.30
  4. Step 4: Simplify right side
    4,938.70x = 35,146,011.62
  5. Step 5: Solve for x
    x = 35,146,011.62/4,938.70
  6. Step 6: Final answer
    x = 7,116.45

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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.