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Finding the Fourth Proportional to 5,786.19, 8,679.28 and 1,403.65

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Solution

The fourth proportional to 5,786.19, 8,679.28 and 1,403.65 is: 2,105.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.19 : 8,679.28 = 1,403.65 : x
  2. Step 2: Convert to fraction form
    5,786.19/8,679.28 = 1,403.65/x
  3. Step 3: Cross multiply
    5,786.19x = 8,679.28 × 1,403.65
  4. Step 4: Simplify right side
    5,786.19x = 12,182,671.37
  5. Step 5: Solve for x
    x = 12,182,671.37/5,786.19
  6. Step 6: Final answer
    x = 2,105.47

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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.