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Finding the Fourth Proportional to 8,678, 13,015.56 and 3,750.32

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Solution

The fourth proportional to 8,678, 13,015.56 and 3,750.32 is: 5,624.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,678 : 13,015.56 = 3,750.32 : x
  2. Step 2: Convert to fraction form
    8,678/13,015.56 = 3,750.32/x
  3. Step 3: Cross multiply
    8,678x = 13,015.56 × 3,750.32
  4. Step 4: Simplify right side
    8,678x = 48,812,514.98
  5. Step 5: Solve for x
    x = 48,812,514.98/8,678
  6. Step 6: Final answer
    x = 5,624.86

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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.