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Finding the Fourth Proportional to 5,785.76, 8,672.52 and 1,889.12

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Solution

The fourth proportional to 5,785.76, 8,672.52 and 1,889.12 is: 2,831.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,785.76 : 8,672.52 = 1,889.12 : x
  2. Step 2: Convert to fraction form
    5,785.76/8,672.52 = 1,889.12/x
  3. Step 3: Cross multiply
    5,785.76x = 8,672.52 × 1,889.12
  4. Step 4: Simplify right side
    5,785.76x = 16,383,430.98
  5. Step 5: Solve for x
    x = 16,383,430.98/5,785.76
  6. Step 6: Final answer
    x = 2,831.68

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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.