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Finding the Fourth Proportional to 7,136.40, 9,846.97 and 6,072.80

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Solution

The fourth proportional to 7,136.40, 9,846.97 and 6,072.80 is: 8,379.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,136.40 : 9,846.97 = 6,072.80 : x
  2. Step 2: Convert to fraction form
    7,136.40/9,846.97 = 6,072.80/x
  3. Step 3: Cross multiply
    7,136.40x = 9,846.97 × 6,072.80
  4. Step 4: Simplify right side
    7,136.40x = 59,798,642.69
  5. Step 5: Solve for x
    x = 59,798,642.69/7,136.40
  6. Step 6: Final answer
    x = 8,379.39

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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.