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Finding the Fourth Proportional to 16,784, 25,273.92 and 12,432.32

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Solution

The fourth proportional to 16,784, 25,273.92 and 12,432.32 is: 18,721.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,784 : 25,273.92 = 12,432.32 : x
  2. Step 2: Convert to fraction form
    16,784/25,273.92 = 12,432.32/x
  3. Step 3: Cross multiply
    16,784x = 25,273.92 × 12,432.32
  4. Step 4: Simplify right side
    16,784x = 314,213,461.09
  5. Step 5: Solve for x
    x = 314,213,461.09/16,784
  6. Step 6: Final answer
    x = 18,721.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.