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Finding the Fourth Proportional to 8,539.65, 12,808.95 and 3,201.77

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Solution

The fourth proportional to 8,539.65, 12,808.95 and 3,201.77 is: 4,802.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,539.65 : 12,808.95 = 3,201.77 : x
  2. Step 2: Convert to fraction form
    8,539.65/12,808.95 = 3,201.77/x
  3. Step 3: Cross multiply
    8,539.65x = 12,808.95 × 3,201.77
  4. Step 4: Simplify right side
    8,539.65x = 41,011,311.84
  5. Step 5: Solve for x
    x = 41,011,311.84/8,539.65
  6. Step 6: Final answer
    x = 4,802.46

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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.