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Finding the Fourth Proportional to 16,101.52, 24,152.64 and 12,821.20

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Solution

The fourth proportional to 16,101.52, 24,152.64 and 12,821.20 is: 19,232.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,101.52 : 24,152.64 = 12,821.20 : x
  2. Step 2: Convert to fraction form
    16,101.52/24,152.64 = 12,821.20/x
  3. Step 3: Cross multiply
    16,101.52x = 24,152.64 × 12,821.20
  4. Step 4: Simplify right side
    16,101.52x = 309,665,827.97
  5. Step 5: Solve for x
    x = 309,665,827.97/16,101.52
  6. Step 6: Final answer
    x = 19,232.09

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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.