Home / 10,923.06-16,384.52-3,131.90

Finding the Fourth Proportional to 10,923.06, 16,384.52 and 3,131.90

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Solution

The fourth proportional to 10,923.06, 16,384.52 and 3,131.90 is: 4,697.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,923.06 : 16,384.52 = 3,131.90 : x
  2. Step 2: Convert to fraction form
    10,923.06/16,384.52 = 3,131.90/x
  3. Step 3: Cross multiply
    10,923.06x = 16,384.52 × 3,131.90
  4. Step 4: Simplify right side
    10,923.06x = 51,314,678.19
  5. Step 5: Solve for x
    x = 51,314,678.19/10,923.06
  6. Step 6: Final answer
    x = 4,697.83

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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.