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Finding the Fourth Proportional to 6,136.65, 8,465.68 and 4,147.90

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Solution

The fourth proportional to 6,136.65, 8,465.68 and 4,147.90 is: 5,722.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.65 : 8,465.68 = 4,147.90 : x
  2. Step 2: Convert to fraction form
    6,136.65/8,465.68 = 4,147.90/x
  3. Step 3: Cross multiply
    6,136.65x = 8,465.68 × 4,147.90
  4. Step 4: Simplify right side
    6,136.65x = 35,114,794.07
  5. Step 5: Solve for x
    x = 35,114,794.07/6,136.65
  6. Step 6: Final answer
    x = 5,722.14

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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.