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Finding the Fourth Proportional to 19,803.78, 27,328.87 and 11,742.87

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Solution

The fourth proportional to 19,803.78, 27,328.87 and 11,742.87 is: 16,204.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,803.78 : 27,328.87 = 11,742.87 : x
  2. Step 2: Convert to fraction form
    19,803.78/27,328.87 = 11,742.87/x
  3. Step 3: Cross multiply
    19,803.78x = 27,328.87 × 11,742.87
  4. Step 4: Simplify right side
    19,803.78x = 320,919,367.66
  5. Step 5: Solve for x
    x = 320,919,367.66/19,803.78
  6. Step 6: Final answer
    x = 16,204.96

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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.