Home / 20,823.26-31,237.49-6,784.71

Finding the Fourth Proportional to 20,823.26, 31,237.49 and 6,784.71

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Solution

The fourth proportional to 20,823.26, 31,237.49 and 6,784.71 is: 10,177.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,823.26 : 31,237.49 = 6,784.71 : x
  2. Step 2: Convert to fraction form
    20,823.26/31,237.49 = 6,784.71/x
  3. Step 3: Cross multiply
    20,823.26x = 31,237.49 × 6,784.71
  4. Step 4: Simplify right side
    20,823.26x = 211,937,159.71
  5. Step 5: Solve for x
    x = 211,937,159.71/20,823.26
  6. Step 6: Final answer
    x = 10,177.91

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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.