Home / 13,756.24-18,977.52-8,164

Finding the Fourth Proportional to 13,756.24, 18,977.52 and 8,164

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Solution

The fourth proportional to 13,756.24, 18,977.52 and 8,164 is: 11,262.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,756.24 : 18,977.52 = 8,164 : x
  2. Step 2: Convert to fraction form
    13,756.24/18,977.52 = 8,164/x
  3. Step 3: Cross multiply
    13,756.24x = 18,977.52 × 8,164
  4. Step 4: Simplify right side
    13,756.24x = 154,932,473.28
  5. Step 5: Solve for x
    x = 154,932,473.28/13,756.24
  6. Step 6: Final answer
    x = 11,262.71

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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.