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Finding the Fourth Proportional to 2,390.68, 3,290.16 and 2,022.49

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Solution

The fourth proportional to 2,390.68, 3,290.16 and 2,022.49 is: 2,783.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,390.68 : 3,290.16 = 2,022.49 : x
  2. Step 2: Convert to fraction form
    2,390.68/3,290.16 = 2,022.49/x
  3. Step 3: Cross multiply
    2,390.68x = 3,290.16 × 2,022.49
  4. Step 4: Simplify right side
    2,390.68x = 6,654,315.70
  5. Step 5: Solve for x
    x = 6,654,315.70/2,390.68
  6. Step 6: Final answer
    x = 2,783.44

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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.