Home / 4,090-6,136.26-2,357.68

Finding the Fourth Proportional to 4,090, 6,136.26 and 2,357.68

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Solution

The fourth proportional to 4,090, 6,136.26 and 2,357.68 is: 3,537.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,090 : 6,136.26 = 2,357.68 : x
  2. Step 2: Convert to fraction form
    4,090/6,136.26 = 2,357.68/x
  3. Step 3: Cross multiply
    4,090x = 6,136.26 × 2,357.68
  4. Step 4: Simplify right side
    4,090x = 14,467,337.48
  5. Step 5: Solve for x
    x = 14,467,337.48/4,090
  6. Step 6: Final answer
    x = 3,537.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.