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Finding the Fourth Proportional to 5,107.70, 7,661.55 and 4,913.30

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Solution

The fourth proportional to 5,107.70, 7,661.55 and 4,913.30 is: 7,369.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107.70 : 7,661.55 = 4,913.30 : x
  2. Step 2: Convert to fraction form
    5,107.70/7,661.55 = 4,913.30/x
  3. Step 3: Cross multiply
    5,107.70x = 7,661.55 × 4,913.30
  4. Step 4: Simplify right side
    5,107.70x = 37,643,493.62
  5. Step 5: Solve for x
    x = 37,643,493.62/5,107.70
  6. Step 6: Final answer
    x = 7,369.95

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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.