Home / 21,268-31,913.76-8,785.12

Finding the Fourth Proportional to 21,268, 31,913.76 and 8,785.12

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Solution

The fourth proportional to 21,268, 31,913.76 and 8,785.12 is: 13,182.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,268 : 31,913.76 = 8,785.12 : x
  2. Step 2: Convert to fraction form
    21,268/31,913.76 = 8,785.12/x
  3. Step 3: Cross multiply
    21,268x = 31,913.76 × 8,785.12
  4. Step 4: Simplify right side
    21,268x = 280,366,211.25
  5. Step 5: Solve for x
    x = 280,366,211.25/21,268
  6. Step 6: Final answer
    x = 13,182.54

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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.