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Finding the Fourth Proportional to 4,740.62, 7,112.14 and 1,819.15

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Solution

The fourth proportional to 4,740.62, 7,112.14 and 1,819.15 is: 2,729.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,740.62 : 7,112.14 = 1,819.15 : x
  2. Step 2: Convert to fraction form
    4,740.62/7,112.14 = 1,819.15/x
  3. Step 3: Cross multiply
    4,740.62x = 7,112.14 × 1,819.15
  4. Step 4: Simplify right side
    4,740.62x = 12,938,027.15
  5. Step 5: Solve for x
    x = 12,938,027.15/4,740.62
  6. Step 6: Final answer
    x = 2,729.19

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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.