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Finding the Fourth Proportional to 6,989.06, 9,643.92 and 3,845.46

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Solution

The fourth proportional to 6,989.06, 9,643.92 and 3,845.46 is: 5,306.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,989.06 : 9,643.92 = 3,845.46 : x
  2. Step 2: Convert to fraction form
    6,989.06/9,643.92 = 3,845.46/x
  3. Step 3: Cross multiply
    6,989.06x = 9,643.92 × 3,845.46
  4. Step 4: Simplify right side
    6,989.06x = 37,085,308.60
  5. Step 5: Solve for x
    x = 37,085,308.60/6,989.06
  6. Step 6: Final answer
    x = 5,306.19

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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.