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Finding the Fourth Proportional to 21,878.40, 32,817.60 and 10,214.40

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Solution

The fourth proportional to 21,878.40, 32,817.60 and 10,214.40 is: 15,321.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,878.40 : 32,817.60 = 10,214.40 : x
  2. Step 2: Convert to fraction form
    21,878.40/32,817.60 = 10,214.40/x
  3. Step 3: Cross multiply
    21,878.40x = 32,817.60 × 10,214.40
  4. Step 4: Simplify right side
    21,878.40x = 335,212,093.44
  5. Step 5: Solve for x
    x = 335,212,093.44/21,878.40
  6. Step 6: Final answer
    x = 15,321.60

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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.