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Finding the Fourth Proportional to 5,620, 7,755.60 and 3,136

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Solution

The fourth proportional to 5,620, 7,755.60 and 3,136 is: 4,327.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,620 : 7,755.60 = 3,136 : x
  2. Step 2: Convert to fraction form
    5,620/7,755.60 = 3,136/x
  3. Step 3: Cross multiply
    5,620x = 7,755.60 × 3,136
  4. Step 4: Simplify right side
    5,620x = 24,321,561.60
  5. Step 5: Solve for x
    x = 24,321,561.60/5,620
  6. Step 6: Final answer
    x = 4,327.68

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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.