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Finding the Fourth Proportional to 20,151.10, 27,806.02 and 11,200.47

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Solution

The fourth proportional to 20,151.10, 27,806.02 and 11,200.47 is: 15,455.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,151.10 : 27,806.02 = 11,200.47 : x
  2. Step 2: Convert to fraction form
    20,151.10/27,806.02 = 11,200.47/x
  3. Step 3: Cross multiply
    20,151.10x = 27,806.02 × 11,200.47
  4. Step 4: Simplify right side
    20,151.10x = 311,440,492.83
  5. Step 5: Solve for x
    x = 311,440,492.83/20,151.10
  6. Step 6: Final answer
    x = 15,455.26

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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.