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Finding the Fourth Proportional to 1,762.20, 2,641.10 and 1,542.33

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Solution

The fourth proportional to 1,762.20, 2,641.10 and 1,542.33 is: 2,311.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.20 : 2,641.10 = 1,542.33 : x
  2. Step 2: Convert to fraction form
    1,762.20/2,641.10 = 1,542.33/x
  3. Step 3: Cross multiply
    1,762.20x = 2,641.10 × 1,542.33
  4. Step 4: Simplify right side
    1,762.20x = 4,073,440.05
  5. Step 5: Solve for x
    x = 4,073,440.05/1,762.20
  6. Step 6: Final answer
    x = 2,311.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.