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Finding the Fourth Proportional to 21,526.38, 32,297.85 and 8,388

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Solution

The fourth proportional to 21,526.38, 32,297.85 and 8,388 is: 12,585.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,526.38 : 32,297.85 = 8,388 : x
  2. Step 2: Convert to fraction form
    21,526.38/32,297.85 = 8,388/x
  3. Step 3: Cross multiply
    21,526.38x = 32,297.85 × 8,388
  4. Step 4: Simplify right side
    21,526.38x = 270,914,365.80
  5. Step 5: Solve for x
    x = 270,914,365.80/21,526.38
  6. Step 6: Final answer
    x = 12,585.23

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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.