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Finding the Fourth Proportional to 7,737.70, 10,671.44 and 5,219.40

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Solution

The fourth proportional to 7,737.70, 10,671.44 and 5,219.40 is: 7,198.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.70 : 10,671.44 = 5,219.40 : x
  2. Step 2: Convert to fraction form
    7,737.70/10,671.44 = 5,219.40/x
  3. Step 3: Cross multiply
    7,737.70x = 10,671.44 × 5,219.40
  4. Step 4: Simplify right side
    7,737.70x = 55,698,513.94
  5. Step 5: Solve for x
    x = 55,698,513.94/7,737.70
  6. Step 6: Final answer
    x = 7,198.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.