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Finding the Fourth Proportional to 8,974, 13,454.58 and 4,228.48

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Solution

The fourth proportional to 8,974, 13,454.58 and 4,228.48 is: 6,339.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,974 : 13,454.58 = 4,228.48 : x
  2. Step 2: Convert to fraction form
    8,974/13,454.58 = 4,228.48/x
  3. Step 3: Cross multiply
    8,974x = 13,454.58 × 4,228.48
  4. Step 4: Simplify right side
    8,974x = 56,892,422.44
  5. Step 5: Solve for x
    x = 56,892,422.44/8,974
  6. Step 6: Final answer
    x = 6,339.69

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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.