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Finding the Fourth Proportional to 6,490.46, 9,737.22 and 2,107.58

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Solution

The fourth proportional to 6,490.46, 9,737.22 and 2,107.58 is: 3,161.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490.46 : 9,737.22 = 2,107.58 : x
  2. Step 2: Convert to fraction form
    6,490.46/9,737.22 = 2,107.58/x
  3. Step 3: Cross multiply
    6,490.46x = 9,737.22 × 2,107.58
  4. Step 4: Simplify right side
    6,490.46x = 20,521,970.13
  5. Step 5: Solve for x
    x = 20,521,970.13/6,490.46
  6. Step 6: Final answer
    x = 3,161.87

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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.