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Finding the Fourth Proportional to 5,256.12, 7,879.68 and 2,136

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Solution

The fourth proportional to 5,256.12, 7,879.68 and 2,136 is: 3,202.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,256.12 : 7,879.68 = 2,136 : x
  2. Step 2: Convert to fraction form
    5,256.12/7,879.68 = 2,136/x
  3. Step 3: Cross multiply
    5,256.12x = 7,879.68 × 2,136
  4. Step 4: Simplify right side
    5,256.12x = 16,830,996.48
  5. Step 5: Solve for x
    x = 16,830,996.48/5,256.12
  6. Step 6: Final answer
    x = 3,202.17

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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.