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Finding the Fourth Proportional to 8,645.97, 12,966.89 and 3,963.06

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Solution

The fourth proportional to 8,645.97, 12,966.89 and 3,963.06 is: 5,943.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,645.97 : 12,966.89 = 3,963.06 : x
  2. Step 2: Convert to fraction form
    8,645.97/12,966.89 = 3,963.06/x
  3. Step 3: Cross multiply
    8,645.97x = 12,966.89 × 3,963.06
  4. Step 4: Simplify right side
    8,645.97x = 51,388,543.27
  5. Step 5: Solve for x
    x = 51,388,543.27/8,645.97
  6. Step 6: Final answer
    x = 5,943.64

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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.