Home / 20,822.80-31,232.28-6,971.92

Finding the Fourth Proportional to 20,822.80, 31,232.28 and 6,971.92

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Solution

The fourth proportional to 20,822.80, 31,232.28 and 6,971.92 is: 10,457.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,822.80 : 31,232.28 = 6,971.92 : x
  2. Step 2: Convert to fraction form
    20,822.80/31,232.28 = 6,971.92/x
  3. Step 3: Cross multiply
    20,822.80x = 31,232.28 × 6,971.92
  4. Step 4: Simplify right side
    20,822.80x = 217,748,957.58
  5. Step 5: Solve for x
    x = 217,748,957.58/20,822.80
  6. Step 6: Final answer
    x = 10,457.24

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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.