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Finding the Fourth Proportional to 2,351.89, 3,527.85 and 620.50

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Solution

The fourth proportional to 2,351.89, 3,527.85 and 620.50 is: 930.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351.89 : 3,527.85 = 620.50 : x
  2. Step 2: Convert to fraction form
    2,351.89/3,527.85 = 620.50/x
  3. Step 3: Cross multiply
    2,351.89x = 3,527.85 × 620.50
  4. Step 4: Simplify right side
    2,351.89x = 2,189,030.93
  5. Step 5: Solve for x
    x = 2,189,030.93/2,351.89
  6. Step 6: Final answer
    x = 930.75

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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.