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Finding the Fourth Proportional to 8,065.77, 12,093.95 and 3,129.65

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Solution

The fourth proportional to 8,065.77, 12,093.95 and 3,129.65 is: 4,692.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,065.77 : 12,093.95 = 3,129.65 : x
  2. Step 2: Convert to fraction form
    8,065.77/12,093.95 = 3,129.65/x
  3. Step 3: Cross multiply
    8,065.77x = 12,093.95 × 3,129.65
  4. Step 4: Simplify right side
    8,065.77x = 37,849,762.32
  5. Step 5: Solve for x
    x = 37,849,762.32/8,065.77
  6. Step 6: Final answer
    x = 4,692.64

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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.