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Finding the Fourth Proportional to 20,230, 27,920.28 and 19,344.40

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Solution

The fourth proportional to 20,230, 27,920.28 and 19,344.40 is: 26,698.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,230 : 27,920.28 = 19,344.40 : x
  2. Step 2: Convert to fraction form
    20,230/27,920.28 = 19,344.40/x
  3. Step 3: Cross multiply
    20,230x = 27,920.28 × 19,344.40
  4. Step 4: Simplify right side
    20,230x = 540,101,064.43
  5. Step 5: Solve for x
    x = 540,101,064.43/20,230
  6. Step 6: Final answer
    x = 26,698.03

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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.