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Finding the Fourth Proportional to 2,640.91, 3,641.47 and 1,975.63

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Solution

The fourth proportional to 2,640.91, 3,641.47 and 1,975.63 is: 2,724.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.91 : 3,641.47 = 1,975.63 : x
  2. Step 2: Convert to fraction form
    2,640.91/3,641.47 = 1,975.63/x
  3. Step 3: Cross multiply
    2,640.91x = 3,641.47 × 1,975.63
  4. Step 4: Simplify right side
    2,640.91x = 7,194,197.38
  5. Step 5: Solve for x
    x = 7,194,197.38/2,640.91
  6. Step 6: Final answer
    x = 2,724.14

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Double scale
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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.