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Finding the Fourth Proportional to 12,777.43, 17,631.64 and 9,422.06

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Solution

The fourth proportional to 12,777.43, 17,631.64 and 9,422.06 is: 13,001.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,777.43 : 17,631.64 = 9,422.06 : x
  2. Step 2: Convert to fraction form
    12,777.43/17,631.64 = 9,422.06/x
  3. Step 3: Cross multiply
    12,777.43x = 17,631.64 × 9,422.06
  4. Step 4: Simplify right side
    12,777.43x = 166,126,369.98
  5. Step 5: Solve for x
    x = 166,126,369.98/12,777.43
  6. Step 6: Final answer
    x = 13,001.55

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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.