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Finding the Fourth Proportional to 7,143.46, 10,664.04 and 6,209.54

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Solution

The fourth proportional to 7,143.46, 10,664.04 and 6,209.54 is: 9,269.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.46 : 10,664.04 = 6,209.54 : x
  2. Step 2: Convert to fraction form
    7,143.46/10,664.04 = 6,209.54/x
  3. Step 3: Cross multiply
    7,143.46x = 10,664.04 × 6,209.54
  4. Step 4: Simplify right side
    7,143.46x = 66,218,782.94
  5. Step 5: Solve for x
    x = 66,218,782.94/7,143.46
  6. Step 6: Final answer
    x = 9,269.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.