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Finding the Fourth Proportional to 6,986.72, 9,642.80 and 4,192.80

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Solution

The fourth proportional to 6,986.72, 9,642.80 and 4,192.80 is: 5,786.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986.72 : 9,642.80 = 4,192.80 : x
  2. Step 2: Convert to fraction form
    6,986.72/9,642.80 = 4,192.80/x
  3. Step 3: Cross multiply
    6,986.72x = 9,642.80 × 4,192.80
  4. Step 4: Simplify right side
    6,986.72x = 40,430,331.84
  5. Step 5: Solve for x
    x = 40,430,331.84/6,986.72
  6. Step 6: Final answer
    x = 5,786.74

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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.