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Finding the Fourth Proportional to 2,509.62, 3,757.47 and 1,891.46

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Solution

The fourth proportional to 2,509.62, 3,757.47 and 1,891.46 is: 2,831.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.62 : 3,757.47 = 1,891.46 : x
  2. Step 2: Convert to fraction form
    2,509.62/3,757.47 = 1,891.46/x
  3. Step 3: Cross multiply
    2,509.62x = 3,757.47 × 1,891.46
  4. Step 4: Simplify right side
    2,509.62x = 7,107,085.42
  5. Step 5: Solve for x
    x = 7,107,085.42/2,509.62
  6. Step 6: Final answer
    x = 2,831.94

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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.