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Finding the Fourth Proportional to 20,570.28, 30,849.03 and 7,420.95

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Solution

The fourth proportional to 20,570.28, 30,849.03 and 7,420.95 is: 11,129.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,570.28 : 30,849.03 = 7,420.95 : x
  2. Step 2: Convert to fraction form
    20,570.28/30,849.03 = 7,420.95/x
  3. Step 3: Cross multiply
    20,570.28x = 30,849.03 × 7,420.95
  4. Step 4: Simplify right side
    20,570.28x = 228,929,109.18
  5. Step 5: Solve for x
    x = 228,929,109.18/20,570.28
  6. Step 6: Final answer
    x = 11,129.12

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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.