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Finding the Fourth Proportional to 21,289.44, 31,934.16 and 6,498.44

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Solution

The fourth proportional to 21,289.44, 31,934.16 and 6,498.44 is: 9,747.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,289.44 : 31,934.16 = 6,498.44 : x
  2. Step 2: Convert to fraction form
    21,289.44/31,934.16 = 6,498.44/x
  3. Step 3: Cross multiply
    21,289.44x = 31,934.16 × 6,498.44
  4. Step 4: Simplify right side
    21,289.44x = 207,522,222.71
  5. Step 5: Solve for x
    x = 207,522,222.71/21,289.44
  6. Step 6: Final answer
    x = 9,747.66

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Similar ratio
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1.5x scale

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.