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Finding the Fourth Proportional to 2,866.79, 3,962.12 and 2,340.09

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Solution

The fourth proportional to 2,866.79, 3,962.12 and 2,340.09 is: 3,234.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.79 : 3,962.12 = 2,340.09 : x
  2. Step 2: Convert to fraction form
    2,866.79/3,962.12 = 2,340.09/x
  3. Step 3: Cross multiply
    2,866.79x = 3,962.12 × 2,340.09
  4. Step 4: Simplify right side
    2,866.79x = 9,271,705.69
  5. Step 5: Solve for x
    x = 9,271,705.69/2,866.79
  6. Step 6: Final answer
    x = 3,234.17

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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.