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Finding the Fourth Proportional to 15,164.84, 20,926.80 and 8,451.20

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Solution

The fourth proportional to 15,164.84, 20,926.80 and 8,451.20 is: 11,662.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,164.84 : 20,926.80 = 8,451.20 : x
  2. Step 2: Convert to fraction form
    15,164.84/20,926.80 = 8,451.20/x
  3. Step 3: Cross multiply
    15,164.84x = 20,926.80 × 8,451.20
  4. Step 4: Simplify right side
    15,164.84x = 176,856,467.53
  5. Step 5: Solve for x
    x = 176,856,467.53/15,164.84
  6. Step 6: Final answer
    x = 11,662.27

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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.