Home / 20,802.24-31,196.88-6,948

Finding the Fourth Proportional to 20,802.24, 31,196.88 and 6,948

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Solution

The fourth proportional to 20,802.24, 31,196.88 and 6,948 is: 10,419.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,802.24 : 31,196.88 = 6,948 : x
  2. Step 2: Convert to fraction form
    20,802.24/31,196.88 = 6,948/x
  3. Step 3: Cross multiply
    20,802.24x = 31,196.88 × 6,948
  4. Step 4: Simplify right side
    20,802.24x = 216,755,922.24
  5. Step 5: Solve for x
    x = 216,755,922.24/20,802.24
  6. Step 6: Final answer
    x = 10,419.84

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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.