Home / 1,981.54-2,972.32-1,211.86

Finding the Fourth Proportional to 1,981.54, 2,972.32 and 1,211.86

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Solution

The fourth proportional to 1,981.54, 2,972.32 and 1,211.86 is: 1,817.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.54 : 2,972.32 = 1,211.86 : x
  2. Step 2: Convert to fraction form
    1,981.54/2,972.32 = 1,211.86/x
  3. Step 3: Cross multiply
    1,981.54x = 2,972.32 × 1,211.86
  4. Step 4: Simplify right side
    1,981.54x = 3,602,035.72
  5. Step 5: Solve for x
    x = 3,602,035.72/1,981.54
  6. Step 6: Final answer
    x = 1,817.80

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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.