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Finding the Fourth Proportional to 2,257.47, 3,092.78 and 2,169.99

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Solution

The fourth proportional to 2,257.47, 3,092.78 and 2,169.99 is: 2,972.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.47 : 3,092.78 = 2,169.99 : x
  2. Step 2: Convert to fraction form
    2,257.47/3,092.78 = 2,169.99/x
  3. Step 3: Cross multiply
    2,257.47x = 3,092.78 × 2,169.99
  4. Step 4: Simplify right side
    2,257.47x = 6,711,307.10
  5. Step 5: Solve for x
    x = 6,711,307.10/2,257.47
  6. Step 6: Final answer
    x = 2,972.93

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.