Home / 20,971.04-31,462.02-7,823.52

Finding the Fourth Proportional to 20,971.04, 31,462.02 and 7,823.52

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Solution

The fourth proportional to 20,971.04, 31,462.02 and 7,823.52 is: 11,737.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,971.04 : 31,462.02 = 7,823.52 : x
  2. Step 2: Convert to fraction form
    20,971.04/31,462.02 = 7,823.52/x
  3. Step 3: Cross multiply
    20,971.04x = 31,462.02 × 7,823.52
  4. Step 4: Simplify right side
    20,971.04x = 246,143,742.71
  5. Step 5: Solve for x
    x = 246,143,742.71/20,971.04
  6. Step 6: Final answer
    x = 11,737.32

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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.