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Finding the Fourth Proportional to 20,507.76, 30,764.20 and 8,026.17

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Solution

The fourth proportional to 20,507.76, 30,764.20 and 8,026.17 is: 12,040.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,507.76 : 30,764.20 = 8,026.17 : x
  2. Step 2: Convert to fraction form
    20,507.76/30,764.20 = 8,026.17/x
  3. Step 3: Cross multiply
    20,507.76x = 30,764.20 × 8,026.17
  4. Step 4: Simplify right side
    20,507.76x = 246,918,699.11
  5. Step 5: Solve for x
    x = 246,918,699.11/20,507.76
  6. Step 6: Final answer
    x = 12,040.26

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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.