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Finding the Fourth Proportional to 2,068.86, 3,101.79 and 972.61

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Solution

The fourth proportional to 2,068.86, 3,101.79 and 972.61 is: 1,458.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.86 : 3,101.79 = 972.61 : x
  2. Step 2: Convert to fraction form
    2,068.86/3,101.79 = 972.61/x
  3. Step 3: Cross multiply
    2,068.86x = 3,101.79 × 972.61
  4. Step 4: Simplify right side
    2,068.86x = 3,016,831.97
  5. Step 5: Solve for x
    x = 3,016,831.97/2,068.86
  6. Step 6: Final answer
    x = 1,458.21

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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.