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Finding the Fourth Proportional to 6,309.54, 9,470.14 and 3,191.74

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Solution

The fourth proportional to 6,309.54, 9,470.14 and 3,191.74 is: 4,790.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.54 : 9,470.14 = 3,191.74 : x
  2. Step 2: Convert to fraction form
    6,309.54/9,470.14 = 3,191.74/x
  3. Step 3: Cross multiply
    6,309.54x = 9,470.14 × 3,191.74
  4. Step 4: Simplify right side
    6,309.54x = 30,226,224.64
  5. Step 5: Solve for x
    x = 30,226,224.64/6,309.54
  6. Step 6: Final answer
    x = 4,790.56

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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.