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Finding the Fourth Proportional to 2,351.38, 3,527.26 and 620

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Solution

The fourth proportional to 2,351.38, 3,527.26 and 620 is: 930.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351.38 : 3,527.26 = 620 : x
  2. Step 2: Convert to fraction form
    2,351.38/3,527.26 = 620/x
  3. Step 3: Cross multiply
    2,351.38x = 3,527.26 × 620
  4. Step 4: Simplify right side
    2,351.38x = 2,186,901.20
  5. Step 5: Solve for x
    x = 2,186,901.20/2,351.38
  6. Step 6: Final answer
    x = 930.05

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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.