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Finding the Fourth Proportional to 6,642.75, 9,962.57 and 1,963.07

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Solution

The fourth proportional to 6,642.75, 9,962.57 and 1,963.07 is: 2,944.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642.75 : 9,962.57 = 1,963.07 : x
  2. Step 2: Convert to fraction form
    6,642.75/9,962.57 = 1,963.07/x
  3. Step 3: Cross multiply
    6,642.75x = 9,962.57 × 1,963.07
  4. Step 4: Simplify right side
    6,642.75x = 19,557,177.38
  5. Step 5: Solve for x
    x = 19,557,177.38/6,642.75
  6. Step 6: Final answer
    x = 2,944.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.