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Finding the Fourth Proportional to 5,136.60, 7,707.84 and 2,174.84

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Solution

The fourth proportional to 5,136.60, 7,707.84 and 2,174.84 is: 3,263.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,136.60 : 7,707.84 = 2,174.84 : x
  2. Step 2: Convert to fraction form
    5,136.60/7,707.84 = 2,174.84/x
  3. Step 3: Cross multiply
    5,136.60x = 7,707.84 × 2,174.84
  4. Step 4: Simplify right side
    5,136.60x = 16,763,318.75
  5. Step 5: Solve for x
    x = 16,763,318.75/5,136.60
  6. Step 6: Final answer
    x = 3,263.50

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1.5x scale

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.