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Finding the Fourth Proportional to 21,428.60, 32,137.95 and 8,103.02

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Solution

The fourth proportional to 21,428.60, 32,137.95 and 8,103.02 is: 12,152.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,428.60 : 32,137.95 = 8,103.02 : x
  2. Step 2: Convert to fraction form
    21,428.60/32,137.95 = 8,103.02/x
  3. Step 3: Cross multiply
    21,428.60x = 32,137.95 × 8,103.02
  4. Step 4: Simplify right side
    21,428.60x = 260,414,451.61
  5. Step 5: Solve for x
    x = 260,414,451.61/21,428.60
  6. Step 6: Final answer
    x = 12,152.66

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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.