Home / 20,971.80-31,458.42-7,119

Finding the Fourth Proportional to 20,971.80, 31,458.42 and 7,119

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Solution

The fourth proportional to 20,971.80, 31,458.42 and 7,119 is: 10,678.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,971.80 : 31,458.42 = 7,119 : x
  2. Step 2: Convert to fraction form
    20,971.80/31,458.42 = 7,119/x
  3. Step 3: Cross multiply
    20,971.80x = 31,458.42 × 7,119
  4. Step 4: Simplify right side
    20,971.80x = 223,952,491.98
  5. Step 5: Solve for x
    x = 223,952,491.98/20,971.80
  6. Step 6: Final answer
    x = 10,678.74

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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.