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Finding the Fourth Proportional to 12,723.16, 17,553.90 and 7,689.28

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Solution

The fourth proportional to 12,723.16, 17,553.90 and 7,689.28 is: 10,608.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,723.16 : 17,553.90 = 7,689.28 : x
  2. Step 2: Convert to fraction form
    12,723.16/17,553.90 = 7,689.28/x
  3. Step 3: Cross multiply
    12,723.16x = 17,553.90 × 7,689.28
  4. Step 4: Simplify right side
    12,723.16x = 134,976,852.19
  5. Step 5: Solve for x
    x = 134,976,852.19/12,723.16
  6. Step 6: Final answer
    x = 10,608.75

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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.