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Finding the Fourth Proportional to 6,605.89, 9,894.25 and 6,449.15

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Solution

The fourth proportional to 6,605.89, 9,894.25 and 6,449.15 is: 9,659.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,605.89 : 9,894.25 = 6,449.15 : x
  2. Step 2: Convert to fraction form
    6,605.89/9,894.25 = 6,449.15/x
  3. Step 3: Cross multiply
    6,605.89x = 9,894.25 × 6,449.15
  4. Step 4: Simplify right side
    6,605.89x = 63,809,535.18
  5. Step 5: Solve for x
    x = 63,809,535.18/6,605.89
  6. Step 6: Final answer
    x = 9,659.49

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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.