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Finding the Fourth Proportional to 37,382, 56,081.92 and 12,758

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Solution

The fourth proportional to 37,382, 56,081.92 and 12,758 is: 19,140.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,382 : 56,081.92 = 12,758 : x
  2. Step 2: Convert to fraction form
    37,382/56,081.92 = 12,758/x
  3. Step 3: Cross multiply
    37,382x = 56,081.92 × 12,758
  4. Step 4: Simplify right side
    37,382x = 715,493,135.36
  5. Step 5: Solve for x
    x = 715,493,135.36/37,382
  6. Step 6: Final answer
    x = 19,140.04

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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.