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Finding the Fourth Proportional to 20,246.40, 30,378 and 9,145.44

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Solution

The fourth proportional to 20,246.40, 30,378 and 9,145.44 is: 13,721.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,246.40 : 30,378 = 9,145.44 : x
  2. Step 2: Convert to fraction form
    20,246.40/30,378 = 9,145.44/x
  3. Step 3: Cross multiply
    20,246.40x = 30,378 × 9,145.44
  4. Step 4: Simplify right side
    20,246.40x = 277,820,176.32
  5. Step 5: Solve for x
    x = 277,820,176.32/20,246.40
  6. Step 6: Final answer
    x = 13,721.95

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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.