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Finding the Fourth Proportional to 9,152.70, 13,727.76 and 3,889.80

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Solution

The fourth proportional to 9,152.70, 13,727.76 and 3,889.80 is: 5,834.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,152.70 : 13,727.76 = 3,889.80 : x
  2. Step 2: Convert to fraction form
    9,152.70/13,727.76 = 3,889.80/x
  3. Step 3: Cross multiply
    9,152.70x = 13,727.76 × 3,889.80
  4. Step 4: Simplify right side
    9,152.70x = 53,398,240.85
  5. Step 5: Solve for x
    x = 53,398,240.85/9,152.70
  6. Step 6: Final answer
    x = 5,834.15

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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.