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Finding the Fourth Proportional to 12,963.90, 17,887.14 and 7,659.51

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Solution

The fourth proportional to 12,963.90, 17,887.14 and 7,659.51 is: 10,568.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,963.90 : 17,887.14 = 7,659.51 : x
  2. Step 2: Convert to fraction form
    12,963.90/17,887.14 = 7,659.51/x
  3. Step 3: Cross multiply
    12,963.90x = 17,887.14 × 7,659.51
  4. Step 4: Simplify right side
    12,963.90x = 137,006,727.70
  5. Step 5: Solve for x
    x = 137,006,727.70/12,963.90
  6. Step 6: Final answer
    x = 10,568.33

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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.