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Finding the Fourth Proportional to 6,984.09, 10,479.78 and 6,426.54

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Solution

The fourth proportional to 6,984.09, 10,479.78 and 6,426.54 is: 9,643.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,984.09 : 10,479.78 = 6,426.54 : x
  2. Step 2: Convert to fraction form
    6,984.09/10,479.78 = 6,426.54/x
  3. Step 3: Cross multiply
    6,984.09x = 10,479.78 × 6,426.54
  4. Step 4: Simplify right side
    6,984.09x = 67,348,725.36
  5. Step 5: Solve for x
    x = 67,348,725.36/6,984.09
  6. Step 6: Final answer
    x = 9,643.16

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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.