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Finding the Fourth Proportional to 12,786.96, 17,644.74 and 7,121.51

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Solution

The fourth proportional to 12,786.96, 17,644.74 and 7,121.51 is: 9,826.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,786.96 : 17,644.74 = 7,121.51 : x
  2. Step 2: Convert to fraction form
    12,786.96/17,644.74 = 7,121.51/x
  3. Step 3: Cross multiply
    12,786.96x = 17,644.74 × 7,121.51
  4. Step 4: Simplify right side
    12,786.96x = 125,657,302.94
  5. Step 5: Solve for x
    x = 125,657,302.94/12,786.96
  6. Step 6: Final answer
    x = 9,826.99

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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.