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Finding the Fourth Proportional to 19,719.80, 27,214.01 and 11,223.20

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Solution

The fourth proportional to 19,719.80, 27,214.01 and 11,223.20 is: 15,488.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,719.80 : 27,214.01 = 11,223.20 : x
  2. Step 2: Convert to fraction form
    19,719.80/27,214.01 = 11,223.20/x
  3. Step 3: Cross multiply
    19,719.80x = 27,214.01 × 11,223.20
  4. Step 4: Simplify right side
    19,719.80x = 305,428,331.04
  5. Step 5: Solve for x
    x = 305,428,331.04/19,719.80
  6. Step 6: Final answer
    x = 15,488.41

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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.