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Finding the Fourth Proportional to 30,382.71, 45,573.67 and 10,392

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Solution

The fourth proportional to 30,382.71, 45,573.67 and 10,392 is: 15,587.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,382.71 : 45,573.67 = 10,392 : x
  2. Step 2: Convert to fraction form
    30,382.71/45,573.67 = 10,392/x
  3. Step 3: Cross multiply
    30,382.71x = 45,573.67 × 10,392
  4. Step 4: Simplify right side
    30,382.71x = 473,601,578.64
  5. Step 5: Solve for x
    x = 473,601,578.64/30,382.71
  6. Step 6: Final answer
    x = 15,587.86

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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.