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Finding the Fourth Proportional to 21,878.88, 32,820.60 and 8,370.02

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Solution

The fourth proportional to 21,878.88, 32,820.60 and 8,370.02 is: 12,555.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,878.88 : 32,820.60 = 8,370.02 : x
  2. Step 2: Convert to fraction form
    21,878.88/32,820.60 = 8,370.02/x
  3. Step 3: Cross multiply
    21,878.88x = 32,820.60 × 8,370.02
  4. Step 4: Simplify right side
    21,878.88x = 274,709,036.56
  5. Step 5: Solve for x
    x = 274,709,036.56/21,878.88
  6. Step 6: Final answer
    x = 12,555.90

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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.