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Finding the Fourth Proportional to 21,886.40, 32,820.96 and 8,027.84

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Solution

The fourth proportional to 21,886.40, 32,820.96 and 8,027.84 is: 12,038.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,886.40 : 32,820.96 = 8,027.84 : x
  2. Step 2: Convert to fraction form
    21,886.40/32,820.96 = 8,027.84/x
  3. Step 3: Cross multiply
    21,886.40x = 32,820.96 × 8,027.84
  4. Step 4: Simplify right side
    21,886.40x = 263,481,415.53
  5. Step 5: Solve for x
    x = 263,481,415.53/21,886.40
  6. Step 6: Final answer
    x = 12,038.59

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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.