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Finding the Fourth Proportional to 2,866.86, 3,957.12 and 1,981.80

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Solution

The fourth proportional to 2,866.86, 3,957.12 and 1,981.80 is: 2,735.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.86 : 3,957.12 = 1,981.80 : x
  2. Step 2: Convert to fraction form
    2,866.86/3,957.12 = 1,981.80/x
  3. Step 3: Cross multiply
    2,866.86x = 3,957.12 × 1,981.80
  4. Step 4: Simplify right side
    2,866.86x = 7,842,220.42
  5. Step 5: Solve for x
    x = 7,842,220.42/2,866.86
  6. Step 6: Final answer
    x = 2,735.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.