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Finding the Fourth Proportional to 7,097.88, 10,646.78 and 3,977.90

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Solution

The fourth proportional to 7,097.88, 10,646.78 and 3,977.90 is: 5,966.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.88 : 10,646.78 = 3,977.90 : x
  2. Step 2: Convert to fraction form
    7,097.88/10,646.78 = 3,977.90/x
  3. Step 3: Cross multiply
    7,097.88x = 10,646.78 × 3,977.90
  4. Step 4: Simplify right side
    7,097.88x = 42,351,782.87
  5. Step 5: Solve for x
    x = 42,351,782.87/7,097.88
  6. Step 6: Final answer
    x = 5,966.82

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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.