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Finding the Fourth Proportional to 5,136.36, 7,709.36 and 2,672.93

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Solution

The fourth proportional to 5,136.36, 7,709.36 and 2,672.93 is: 4,011.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,136.36 : 7,709.36 = 2,672.93 : x
  2. Step 2: Convert to fraction form
    5,136.36/7,709.36 = 2,672.93/x
  3. Step 3: Cross multiply
    5,136.36x = 7,709.36 × 2,672.93
  4. Step 4: Simplify right side
    5,136.36x = 20,606,527.71
  5. Step 5: Solve for x
    x = 20,606,527.71/5,136.36
  6. Step 6: Final answer
    x = 4,011.89

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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.