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Finding the Fourth Proportional to 5,097.78, 7,034.76 and 2,859.66

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Solution

The fourth proportional to 5,097.78, 7,034.76 and 2,859.66 is: 3,946.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.78 : 7,034.76 = 2,859.66 : x
  2. Step 2: Convert to fraction form
    5,097.78/7,034.76 = 2,859.66/x
  3. Step 3: Cross multiply
    5,097.78x = 7,034.76 × 2,859.66
  4. Step 4: Simplify right side
    5,097.78x = 20,117,021.78
  5. Step 5: Solve for x
    x = 20,117,021.78/5,097.78
  6. Step 6: Final answer
    x = 3,946.23

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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.