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Finding the Fourth Proportional to 20,605.94, 30,907.20 and 6,565.40

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Solution

The fourth proportional to 20,605.94, 30,907.20 and 6,565.40 is: 9,847.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,605.94 : 30,907.20 = 6,565.40 : x
  2. Step 2: Convert to fraction form
    20,605.94/30,907.20 = 6,565.40/x
  3. Step 3: Cross multiply
    20,605.94x = 30,907.20 × 6,565.40
  4. Step 4: Simplify right side
    20,605.94x = 202,918,224.56
  5. Step 5: Solve for x
    x = 202,918,224.56/20,605.94
  6. Step 6: Final answer
    x = 9,847.56

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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.