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Finding the Fourth Proportional to 12,761.77, 17,628.09 and 10,644.22

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Solution

The fourth proportional to 12,761.77, 17,628.09 and 10,644.22 is: 14,703.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,761.77 : 17,628.09 = 10,644.22 : x
  2. Step 2: Convert to fraction form
    12,761.77/17,628.09 = 10,644.22/x
  3. Step 3: Cross multiply
    12,761.77x = 17,628.09 × 10,644.22
  4. Step 4: Simplify right side
    12,761.77x = 187,637,268.14
  5. Step 5: Solve for x
    x = 187,637,268.14/12,761.77
  6. Step 6: Final answer
    x = 14,703.08

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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.