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Finding the Fourth Proportional to 2,685.15, 3,706.16 and 2,095.47

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Solution

The fourth proportional to 2,685.15, 3,706.16 and 2,095.47 is: 2,892.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.15 : 3,706.16 = 2,095.47 : x
  2. Step 2: Convert to fraction form
    2,685.15/3,706.16 = 2,095.47/x
  3. Step 3: Cross multiply
    2,685.15x = 3,706.16 × 2,095.47
  4. Step 4: Simplify right side
    2,685.15x = 7,766,136.62
  5. Step 5: Solve for x
    x = 7,766,136.62/2,685.15
  6. Step 6: Final answer
    x = 2,892.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.