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Finding the Fourth Proportional to 20,038.74, 27,651.20 and 11,085

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Solution

The fourth proportional to 20,038.74, 27,651.20 and 11,085 is: 15,296.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,038.74 : 27,651.20 = 11,085 : x
  2. Step 2: Convert to fraction form
    20,038.74/27,651.20 = 11,085/x
  3. Step 3: Cross multiply
    20,038.74x = 27,651.20 × 11,085
  4. Step 4: Simplify right side
    20,038.74x = 306,513,552
  5. Step 5: Solve for x
    x = 306,513,552/20,038.74
  6. Step 6: Final answer
    x = 15,296.05

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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.