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Finding the Fourth Proportional to 12,722.63, 17,557.22 and 7,754.63

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Solution

The fourth proportional to 12,722.63, 17,557.22 and 7,754.63 is: 10,701.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,722.63 : 17,557.22 = 7,754.63 : x
  2. Step 2: Convert to fraction form
    12,722.63/17,557.22 = 7,754.63/x
  3. Step 3: Cross multiply
    12,722.63x = 17,557.22 × 7,754.63
  4. Step 4: Simplify right side
    12,722.63x = 136,149,676.53
  5. Step 5: Solve for x
    x = 136,149,676.53/12,722.63
  6. Step 6: Final answer
    x = 10,701.38

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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.