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Finding the Fourth Proportional to 7,136, 9,847.68 and 3,992.78

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Solution

The fourth proportional to 7,136, 9,847.68 and 3,992.78 is: 5,510.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,136 : 9,847.68 = 3,992.78 : x
  2. Step 2: Convert to fraction form
    7,136/9,847.68 = 3,992.78/x
  3. Step 3: Cross multiply
    7,136x = 9,847.68 × 3,992.78
  4. Step 4: Simplify right side
    7,136x = 39,319,619.75
  5. Step 5: Solve for x
    x = 39,319,619.75/7,136
  6. Step 6: Final answer
    x = 5,510.04

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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.