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Finding the Fourth Proportional to 8,539.44, 12,808.18 and 2,300

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Solution

The fourth proportional to 8,539.44, 12,808.18 and 2,300 is: 3,449.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,539.44 : 12,808.18 = 2,300 : x
  2. Step 2: Convert to fraction form
    8,539.44/12,808.18 = 2,300/x
  3. Step 3: Cross multiply
    8,539.44x = 12,808.18 × 2,300
  4. Step 4: Simplify right side
    8,539.44x = 29,458,814
  5. Step 5: Solve for x
    x = 29,458,814/8,539.44
  6. Step 6: Final answer
    x = 3,449.74

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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.