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Finding the Fourth Proportional to 6,655, 9,982.23 and 1,974.82

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Solution

The fourth proportional to 6,655, 9,982.23 and 1,974.82 is: 2,962.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,655 : 9,982.23 = 1,974.82 : x
  2. Step 2: Convert to fraction form
    6,655/9,982.23 = 1,974.82/x
  3. Step 3: Cross multiply
    6,655x = 9,982.23 × 1,974.82
  4. Step 4: Simplify right side
    6,655x = 19,713,107.45
  5. Step 5: Solve for x
    x = 19,713,107.45/6,655
  6. Step 6: Final answer
    x = 2,962.15

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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.