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Finding the Fourth Proportional to 12,853.77, 17,741.16 and 8,369.72

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Solution

The fourth proportional to 12,853.77, 17,741.16 and 8,369.72 is: 11,552.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,853.77 : 17,741.16 = 8,369.72 : x
  2. Step 2: Convert to fraction form
    12,853.77/17,741.16 = 8,369.72/x
  3. Step 3: Cross multiply
    12,853.77x = 17,741.16 × 8,369.72
  4. Step 4: Simplify right side
    12,853.77x = 148,488,452.97
  5. Step 5: Solve for x
    x = 148,488,452.97/12,853.77
  6. Step 6: Final answer
    x = 11,552.13

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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.