Home / 37,824-56,741.76-12,856.32

Finding the Fourth Proportional to 37,824, 56,741.76 and 12,856.32

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Solution

The fourth proportional to 37,824, 56,741.76 and 12,856.32 is: 19,286.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,824 : 56,741.76 = 12,856.32 : x
  2. Step 2: Convert to fraction form
    37,824/56,741.76 = 12,856.32/x
  3. Step 3: Cross multiply
    37,824x = 56,741.76 × 12,856.32
  4. Step 4: Simplify right side
    37,824x = 729,490,223.92
  5. Step 5: Solve for x
    x = 729,490,223.92/37,824
  6. Step 6: Final answer
    x = 19,286.44

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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.