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Finding the Fourth Proportional to 8,250, 12,374.76 and 3,055.76

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Solution

The fourth proportional to 8,250, 12,374.76 and 3,055.76 is: 4,583.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,250 : 12,374.76 = 3,055.76 : x
  2. Step 2: Convert to fraction form
    8,250/12,374.76 = 3,055.76/x
  3. Step 3: Cross multiply
    8,250x = 12,374.76 × 3,055.76
  4. Step 4: Simplify right side
    8,250x = 37,814,296.62
  5. Step 5: Solve for x
    x = 37,814,296.62/8,250
  6. Step 6: Final answer
    x = 4,583.55

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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.