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Finding the Fourth Proportional to 8,303.74, 12,454.25 and 4,139.33

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Solution

The fourth proportional to 8,303.74, 12,454.25 and 4,139.33 is: 6,208.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,303.74 : 12,454.25 = 4,139.33 : x
  2. Step 2: Convert to fraction form
    8,303.74/12,454.25 = 4,139.33/x
  3. Step 3: Cross multiply
    8,303.74x = 12,454.25 × 4,139.33
  4. Step 4: Simplify right side
    8,303.74x = 51,552,167.68
  5. Step 5: Solve for x
    x = 51,552,167.68/8,303.74
  6. Step 6: Final answer
    x = 6,208.31

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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.