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Finding the Fourth Proportional to 4,984.97, 7,477.49 and 1,286.95

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Solution

The fourth proportional to 4,984.97, 7,477.49 and 1,286.95 is: 1,930.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,984.97 : 7,477.49 = 1,286.95 : x
  2. Step 2: Convert to fraction form
    4,984.97/7,477.49 = 1,286.95/x
  3. Step 3: Cross multiply
    4,984.97x = 7,477.49 × 1,286.95
  4. Step 4: Simplify right side
    4,984.97x = 9,623,165.91
  5. Step 5: Solve for x
    x = 9,623,165.91/4,984.97
  6. Step 6: Final answer
    x = 1,930.43

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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.