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Finding the Fourth Proportional to 12,644.55, 18,978.30 and 6,408.90

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Solution

The fourth proportional to 12,644.55, 18,978.30 and 6,408.90 is: 9,619.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,644.55 : 18,978.30 = 6,408.90 : x
  2. Step 2: Convert to fraction form
    12,644.55/18,978.30 = 6,408.90/x
  3. Step 3: Cross multiply
    12,644.55x = 18,978.30 × 6,408.90
  4. Step 4: Simplify right side
    12,644.55x = 121,630,026.87
  5. Step 5: Solve for x
    x = 121,630,026.87/12,644.55
  6. Step 6: Final answer
    x = 9,619.17

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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.