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Finding the Fourth Proportional to 7,136.96, 9,825.21 and 6,138.23

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Solution

The fourth proportional to 7,136.96, 9,825.21 and 6,138.23 is: 8,450.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,136.96 : 9,825.21 = 6,138.23 : x
  2. Step 2: Convert to fraction form
    7,136.96/9,825.21 = 6,138.23/x
  3. Step 3: Cross multiply
    7,136.96x = 9,825.21 × 6,138.23
  4. Step 4: Simplify right side
    7,136.96x = 60,309,349.65
  5. Step 5: Solve for x
    x = 60,309,349.65/7,136.96
  6. Step 6: Final answer
    x = 8,450.29

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Find fourth proportional to 7,137.96, 9,826.59 and 6,139.23
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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.