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Finding the Fourth Proportional to 2,641.17, 3,640.65 and 2,009.68

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Solution

The fourth proportional to 2,641.17, 3,640.65 and 2,009.68 is: 2,770.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.17 : 3,640.65 = 2,009.68 : x
  2. Step 2: Convert to fraction form
    2,641.17/3,640.65 = 2,009.68/x
  3. Step 3: Cross multiply
    2,641.17x = 3,640.65 × 2,009.68
  4. Step 4: Simplify right side
    2,641.17x = 7,316,524.85
  5. Step 5: Solve for x
    x = 7,316,524.85/2,641.17
  6. Step 6: Final answer
    x = 2,770.18

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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.