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Finding the Fourth Proportional to 52,408.86, 78,612.34 and 12,965.97

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Solution

The fourth proportional to 52,408.86, 78,612.34 and 12,965.97 is: 19,448.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,408.86 : 78,612.34 = 12,965.97 : x
  2. Step 2: Convert to fraction form
    52,408.86/78,612.34 = 12,965.97/x
  3. Step 3: Cross multiply
    52,408.86x = 78,612.34 × 12,965.97
  4. Step 4: Simplify right side
    52,408.86x = 1,019,285,528.76
  5. Step 5: Solve for x
    x = 1,019,285,528.76/52,408.86
  6. Step 6: Final answer
    x = 19,448.73

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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.