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Finding the Fourth Proportional to 7,136.90, 9,849.42 and 4,112.90

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Solution

The fourth proportional to 7,136.90, 9,849.42 and 4,112.90 is: 5,676.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,136.90 : 9,849.42 = 4,112.90 : x
  2. Step 2: Convert to fraction form
    7,136.90/9,849.42 = 4,112.90/x
  3. Step 3: Cross multiply
    7,136.90x = 9,849.42 × 4,112.90
  4. Step 4: Simplify right side
    7,136.90x = 40,509,679.52
  5. Step 5: Solve for x
    x = 40,509,679.52/7,136.90
  6. Step 6: Final answer
    x = 5,676.09

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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.