Home / 20,964-31,443.76-6,172.96

Finding the Fourth Proportional to 20,964, 31,443.76 and 6,172.96

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Solution

The fourth proportional to 20,964, 31,443.76 and 6,172.96 is: 9,258.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,964 : 31,443.76 = 6,172.96 : x
  2. Step 2: Convert to fraction form
    20,964/31,443.76 = 6,172.96/x
  3. Step 3: Cross multiply
    20,964x = 31,443.76 × 6,172.96
  4. Step 4: Simplify right side
    20,964x = 194,101,072.73
  5. Step 5: Solve for x
    x = 194,101,072.73/20,964
  6. Step 6: Final answer
    x = 9,258.78

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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.