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Finding the Fourth Proportional to 2,817.84, 3,890.50 and 2,158.08

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Solution

The fourth proportional to 2,817.84, 3,890.50 and 2,158.08 is: 2,979.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,817.84 : 3,890.50 = 2,158.08 : x
  2. Step 2: Convert to fraction form
    2,817.84/3,890.50 = 2,158.08/x
  3. Step 3: Cross multiply
    2,817.84x = 3,890.50 × 2,158.08
  4. Step 4: Simplify right side
    2,817.84x = 8,396,010.24
  5. Step 5: Solve for x
    x = 8,396,010.24/2,817.84
  6. Step 6: Final answer
    x = 2,979.59

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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.