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Finding the Fourth Proportional to 6,470.90, 9,713.12 and 5,735.21

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Solution

The fourth proportional to 6,470.90, 9,713.12 and 5,735.21 is: 8,608.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.90 : 9,713.12 = 5,735.21 : x
  2. Step 2: Convert to fraction form
    6,470.90/9,713.12 = 5,735.21/x
  3. Step 3: Cross multiply
    6,470.90x = 9,713.12 × 5,735.21
  4. Step 4: Simplify right side
    6,470.90x = 55,706,705.71
  5. Step 5: Solve for x
    x = 55,706,705.71/6,470.90
  6. Step 6: Final answer
    x = 8,608.81

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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.