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Finding the Fourth Proportional to 6,907.97, 10,361.93 and 1,977.61

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Solution

The fourth proportional to 6,907.97, 10,361.93 and 1,977.61 is: 2,966.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,907.97 : 10,361.93 = 1,977.61 : x
  2. Step 2: Convert to fraction form
    6,907.97/10,361.93 = 1,977.61/x
  3. Step 3: Cross multiply
    6,907.97x = 10,361.93 × 1,977.61
  4. Step 4: Simplify right side
    6,907.97x = 20,491,836.91
  5. Step 5: Solve for x
    x = 20,491,836.91/6,907.97
  6. Step 6: Final answer
    x = 2,966.40

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1.5x scale

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.