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Finding the Fourth Proportional to 6,470.97, 8,944.07 and 5,440.65

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Solution

The fourth proportional to 6,470.97, 8,944.07 and 5,440.65 is: 7,519.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.97 : 8,944.07 = 5,440.65 : x
  2. Step 2: Convert to fraction form
    6,470.97/8,944.07 = 5,440.65/x
  3. Step 3: Cross multiply
    6,470.97x = 8,944.07 × 5,440.65
  4. Step 4: Simplify right side
    6,470.97x = 48,661,527.24
  5. Step 5: Solve for x
    x = 48,661,527.24/6,470.97
  6. Step 6: Final answer
    x = 7,519.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.