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Finding the Fourth Proportional to 21,384.90, 32,087.07 and 8,914.14

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Solution

The fourth proportional to 21,384.90, 32,087.07 and 8,914.14 is: 13,375.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,384.90 : 32,087.07 = 8,914.14 : x
  2. Step 2: Convert to fraction form
    21,384.90/32,087.07 = 8,914.14/x
  3. Step 3: Cross multiply
    21,384.90x = 32,087.07 × 8,914.14
  4. Step 4: Simplify right side
    21,384.90x = 286,028,634.17
  5. Step 5: Solve for x
    x = 286,028,634.17/21,384.90
  6. Step 6: Final answer
    x = 13,375.26

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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.