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Finding the Fourth Proportional to 20,271.78, 30,387.12 and 9,726.30

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Solution

The fourth proportional to 20,271.78, 30,387.12 and 9,726.30 is: 14,579.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,271.78 : 30,387.12 = 9,726.30 : x
  2. Step 2: Convert to fraction form
    20,271.78/30,387.12 = 9,726.30/x
  3. Step 3: Cross multiply
    20,271.78x = 30,387.12 × 9,726.30
  4. Step 4: Simplify right side
    20,271.78x = 295,554,245.26
  5. Step 5: Solve for x
    x = 295,554,245.26/20,271.78
  6. Step 6: Final answer
    x = 14,579.59

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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.