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Finding the Fourth Proportional to 1,986.83, 2,981.31 and 1,166.70

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Solution

The fourth proportional to 1,986.83, 2,981.31 and 1,166.70 is: 1,750.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.83 : 2,981.31 = 1,166.70 : x
  2. Step 2: Convert to fraction form
    1,986.83/2,981.31 = 1,166.70/x
  3. Step 3: Cross multiply
    1,986.83x = 2,981.31 × 1,166.70
  4. Step 4: Simplify right side
    1,986.83x = 3,478,301.18
  5. Step 5: Solve for x
    x = 3,478,301.18/1,986.83
  6. Step 6: Final answer
    x = 1,750.68

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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.