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Finding the Fourth Proportional to 20,855.66, 28,780.74 and 11,424.20

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Solution

The fourth proportional to 20,855.66, 28,780.74 and 11,424.20 is: 15,765.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,855.66 : 28,780.74 = 11,424.20 : x
  2. Step 2: Convert to fraction form
    20,855.66/28,780.74 = 11,424.20/x
  3. Step 3: Cross multiply
    20,855.66x = 28,780.74 × 11,424.20
  4. Step 4: Simplify right side
    20,855.66x = 328,796,929.91
  5. Step 5: Solve for x
    x = 328,796,929.91/20,855.66
  6. Step 6: Final answer
    x = 15,765.36

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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.