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Finding the Fourth Proportional to 3,969.16, 5,953.86 and 1,470.97

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Solution

The fourth proportional to 3,969.16, 5,953.86 and 1,470.97 is: 2,206.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.16 : 5,953.86 = 1,470.97 : x
  2. Step 2: Convert to fraction form
    3,969.16/5,953.86 = 1,470.97/x
  3. Step 3: Cross multiply
    3,969.16x = 5,953.86 × 1,470.97
  4. Step 4: Simplify right side
    3,969.16x = 8,757,942.72
  5. Step 5: Solve for x
    x = 8,757,942.72/3,969.16
  6. Step 6: Final answer
    x = 2,206.50

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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.