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Finding the Fourth Proportional to 5,097.78, 7,647.13 and 1,977.71

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Solution

The fourth proportional to 5,097.78, 7,647.13 and 1,977.71 is: 2,966.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.78 : 7,647.13 = 1,977.71 : x
  2. Step 2: Convert to fraction form
    5,097.78/7,647.13 = 1,977.71/x
  3. Step 3: Cross multiply
    5,097.78x = 7,647.13 × 1,977.71
  4. Step 4: Simplify right side
    5,097.78x = 15,123,824.59
  5. Step 5: Solve for x
    x = 15,123,824.59/5,097.78
  6. Step 6: Final answer
    x = 2,966.75

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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.