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Finding the Fourth Proportional to 7,976.82, 11,014.47 and 7,136.04

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Solution

The fourth proportional to 7,976.82, 11,014.47 and 7,136.04 is: 9,853.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,976.82 : 11,014.47 = 7,136.04 : x
  2. Step 2: Convert to fraction form
    7,976.82/11,014.47 = 7,136.04/x
  3. Step 3: Cross multiply
    7,976.82x = 11,014.47 × 7,136.04
  4. Step 4: Simplify right side
    7,976.82x = 78,599,698.50
  5. Step 5: Solve for x
    x = 78,599,698.50/7,976.82
  6. Step 6: Final answer
    x = 9,853.51

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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.