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Finding the Fourth Proportional to 12,822.93, 17,687.03 and 9,644.49

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Solution

The fourth proportional to 12,822.93, 17,687.03 and 9,644.49 is: 13,302.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,822.93 : 17,687.03 = 9,644.49 : x
  2. Step 2: Convert to fraction form
    12,822.93/17,687.03 = 9,644.49/x
  3. Step 3: Cross multiply
    12,822.93x = 17,687.03 × 9,644.49
  4. Step 4: Simplify right side
    12,822.93x = 170,582,335.74
  5. Step 5: Solve for x
    x = 170,582,335.74/12,822.93
  6. Step 6: Final answer
    x = 13,302.91

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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.