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Finding the Fourth Proportional to 8,314.59, 12,478.23 and 3,054.59

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Solution

The fourth proportional to 8,314.59, 12,478.23 and 3,054.59 is: 4,584.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.59 : 12,478.23 = 3,054.59 : x
  2. Step 2: Convert to fraction form
    8,314.59/12,478.23 = 3,054.59/x
  3. Step 3: Cross multiply
    8,314.59x = 12,478.23 × 3,054.59
  4. Step 4: Simplify right side
    8,314.59x = 38,115,814.18
  5. Step 5: Solve for x
    x = 38,115,814.18/8,314.59
  6. Step 6: Final answer
    x = 4,584.21

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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.