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Finding the Fourth Proportional to 1,949.71, 2,925.78 and 1,220.71

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Solution

The fourth proportional to 1,949.71, 2,925.78 and 1,220.71 is: 1,831.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949.71 : 2,925.78 = 1,220.71 : x
  2. Step 2: Convert to fraction form
    1,949.71/2,925.78 = 1,220.71/x
  3. Step 3: Cross multiply
    1,949.71x = 2,925.78 × 1,220.71
  4. Step 4: Simplify right side
    1,949.71x = 3,571,528.90
  5. Step 5: Solve for x
    x = 3,571,528.90/1,949.71
  6. Step 6: Final answer
    x = 1,831.83

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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.