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Finding the Fourth Proportional to 2,866.17, 3,957.20 and 1,984.68

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Solution

The fourth proportional to 2,866.17, 3,957.20 and 1,984.68 is: 2,740.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.17 : 3,957.20 = 1,984.68 : x
  2. Step 2: Convert to fraction form
    2,866.17/3,957.20 = 1,984.68/x
  3. Step 3: Cross multiply
    2,866.17x = 3,957.20 × 1,984.68
  4. Step 4: Simplify right side
    2,866.17x = 7,853,765.77
  5. Step 5: Solve for x
    x = 7,853,765.77/2,866.17
  6. Step 6: Final answer
    x = 2,740.16

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1.5x scale

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.