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Finding the Fourth Proportional to 4,812.82, 7,219.50 and 1,350.34

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Solution

The fourth proportional to 4,812.82, 7,219.50 and 1,350.34 is: 2,025.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,812.82 : 7,219.50 = 1,350.34 : x
  2. Step 2: Convert to fraction form
    4,812.82/7,219.50 = 1,350.34/x
  3. Step 3: Cross multiply
    4,812.82x = 7,219.50 × 1,350.34
  4. Step 4: Simplify right side
    4,812.82x = 9,748,779.63
  5. Step 5: Solve for x
    x = 9,748,779.63/4,812.82
  6. Step 6: Final answer
    x = 2,025.59

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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.