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Finding the Fourth Proportional to 18,392.64, 25,382 and 10,434.88

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Solution

The fourth proportional to 18,392.64, 25,382 and 10,434.88 is: 14,400.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,392.64 : 25,382 = 10,434.88 : x
  2. Step 2: Convert to fraction form
    18,392.64/25,382 = 10,434.88/x
  3. Step 3: Cross multiply
    18,392.64x = 25,382 × 10,434.88
  4. Step 4: Simplify right side
    18,392.64x = 264,858,124.16
  5. Step 5: Solve for x
    x = 264,858,124.16/18,392.64
  6. Step 6: Final answer
    x = 14,400.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.