Home / 37,825-56,743.26-12,857.32

Finding the Fourth Proportional to 37,825, 56,743.26 and 12,857.32

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Solution

The fourth proportional to 37,825, 56,743.26 and 12,857.32 is: 19,287.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,825 : 56,743.26 = 12,857.32 : x
  2. Step 2: Convert to fraction form
    37,825/56,743.26 = 12,857.32/x
  3. Step 3: Cross multiply
    37,825x = 56,743.26 × 12,857.32
  4. Step 4: Simplify right side
    37,825x = 729,566,251.66
  5. Step 5: Solve for x
    x = 729,566,251.66/37,825
  6. Step 6: Final answer
    x = 19,287.94

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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.