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Finding the Fourth Proportional to 20,874.72, 31,307.76 and 7,726.80

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Solution

The fourth proportional to 20,874.72, 31,307.76 and 7,726.80 is: 11,588.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,874.72 : 31,307.76 = 7,726.80 : x
  2. Step 2: Convert to fraction form
    20,874.72/31,307.76 = 7,726.80/x
  3. Step 3: Cross multiply
    20,874.72x = 31,307.76 × 7,726.80
  4. Step 4: Simplify right side
    20,874.72x = 241,908,799.97
  5. Step 5: Solve for x
    x = 241,908,799.97/20,874.72
  6. Step 6: Final answer
    x = 11,588.60

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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.