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Finding the Fourth Proportional to 8,684, 13,026.64 and 3,489.90

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Solution

The fourth proportional to 8,684, 13,026.64 and 3,489.90 is: 5,235.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,684 : 13,026.64 = 3,489.90 : x
  2. Step 2: Convert to fraction form
    8,684/13,026.64 = 3,489.90/x
  3. Step 3: Cross multiply
    8,684x = 13,026.64 × 3,489.90
  4. Step 4: Simplify right side
    8,684x = 45,461,670.94
  5. Step 5: Solve for x
    x = 45,461,670.94/8,684
  6. Step 6: Final answer
    x = 5,235.11

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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.