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Finding the Fourth Proportional to 4,972.50, 7,440.21 and 2,999.34

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Solution

The fourth proportional to 4,972.50, 7,440.21 and 2,999.34 is: 4,487.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972.50 : 7,440.21 = 2,999.34 : x
  2. Step 2: Convert to fraction form
    4,972.50/7,440.21 = 2,999.34/x
  3. Step 3: Cross multiply
    4,972.50x = 7,440.21 × 2,999.34
  4. Step 4: Simplify right side
    4,972.50x = 22,315,719.46
  5. Step 5: Solve for x
    x = 22,315,719.46/4,972.50
  6. Step 6: Final answer
    x = 4,487.83

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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.