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Finding the Fourth Proportional to 20,893.20, 31,352.07 and 7,754.70

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Solution

The fourth proportional to 20,893.20, 31,352.07 and 7,754.70 is: 11,636.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,893.20 : 31,352.07 = 7,754.70 : x
  2. Step 2: Convert to fraction form
    20,893.20/31,352.07 = 7,754.70/x
  3. Step 3: Cross multiply
    20,893.20x = 31,352.07 × 7,754.70
  4. Step 4: Simplify right side
    20,893.20x = 243,125,897.23
  5. Step 5: Solve for x
    x = 243,125,897.23/20,893.20
  6. Step 6: Final answer
    x = 11,636.60

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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.