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Finding the Fourth Proportional to 6,984.09, 9,640.09 and 4,153.46

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Solution

The fourth proportional to 6,984.09, 9,640.09 and 4,153.46 is: 5,732.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,984.09 : 9,640.09 = 4,153.46 : x
  2. Step 2: Convert to fraction form
    6,984.09/9,640.09 = 4,153.46/x
  3. Step 3: Cross multiply
    6,984.09x = 9,640.09 × 4,153.46
  4. Step 4: Simplify right side
    6,984.09x = 40,039,728.21
  5. Step 5: Solve for x
    x = 40,039,728.21/6,984.09
  6. Step 6: Final answer
    x = 5,732.99

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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.