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Finding the Fourth Proportional to 11,776.78, 16,207.59 and 9,883.90

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Solution

The fourth proportional to 11,776.78, 16,207.59 and 9,883.90 is: 13,602.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776.78 : 16,207.59 = 9,883.90 : x
  2. Step 2: Convert to fraction form
    11,776.78/16,207.59 = 9,883.90/x
  3. Step 3: Cross multiply
    11,776.78x = 16,207.59 × 9,883.90
  4. Step 4: Simplify right side
    11,776.78x = 160,194,198.80
  5. Step 5: Solve for x
    x = 160,194,198.80/11,776.78
  6. Step 6: Final answer
    x = 13,602.55

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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.