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Finding the Fourth Proportional to 5,786.76, 8,680.16 and 1,404.21

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Solution

The fourth proportional to 5,786.76, 8,680.16 and 1,404.21 is: 2,106.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.76 : 8,680.16 = 1,404.21 : x
  2. Step 2: Convert to fraction form
    5,786.76/8,680.16 = 1,404.21/x
  3. Step 3: Cross multiply
    5,786.76x = 8,680.16 × 1,404.21
  4. Step 4: Simplify right side
    5,786.76x = 12,188,760.45
  5. Step 5: Solve for x
    x = 12,188,760.45/5,786.76
  6. Step 6: Final answer
    x = 2,106.32

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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.