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Finding the Fourth Proportional to 1,321.86, 1,981.57 and 1,212.51

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Solution

The fourth proportional to 1,321.86, 1,981.57 and 1,212.51 is: 1,817.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.86 : 1,981.57 = 1,212.51 : x
  2. Step 2: Convert to fraction form
    1,321.86/1,981.57 = 1,212.51/x
  3. Step 3: Cross multiply
    1,321.86x = 1,981.57 × 1,212.51
  4. Step 4: Simplify right side
    1,321.86x = 2,402,673.44
  5. Step 5: Solve for x
    x = 2,402,673.44/1,321.86
  6. Step 6: Final answer
    x = 1,817.65

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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.