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Finding the Fourth Proportional to 20,891.49, 31,340.16 and 6,101.49

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Solution

The fourth proportional to 20,891.49, 31,340.16 and 6,101.49 is: 9,153.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,891.49 : 31,340.16 = 6,101.49 : x
  2. Step 2: Convert to fraction form
    20,891.49/31,340.16 = 6,101.49/x
  3. Step 3: Cross multiply
    20,891.49x = 31,340.16 × 6,101.49
  4. Step 4: Simplify right side
    20,891.49x = 191,221,672.84
  5. Step 5: Solve for x
    x = 191,221,672.84/20,891.49
  6. Step 6: Final answer
    x = 9,153.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.