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Finding the Fourth Proportional to 2,374.35, 3,561.20 and 619.21

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Solution

The fourth proportional to 2,374.35, 3,561.20 and 619.21 is: 928.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.35 : 3,561.20 = 619.21 : x
  2. Step 2: Convert to fraction form
    2,374.35/3,561.20 = 619.21/x
  3. Step 3: Cross multiply
    2,374.35x = 3,561.20 × 619.21
  4. Step 4: Simplify right side
    2,374.35x = 2,205,138.01
  5. Step 5: Solve for x
    x = 2,205,138.01/2,374.35
  6. Step 6: Final answer
    x = 928.73

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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.