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Finding the Fourth Proportional to 52,408.80, 78,612.30 and 12,965.94

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Solution

The fourth proportional to 52,408.80, 78,612.30 and 12,965.94 is: 19,448.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,408.80 : 78,612.30 = 12,965.94 : x
  2. Step 2: Convert to fraction form
    52,408.80/78,612.30 = 12,965.94/x
  3. Step 3: Cross multiply
    52,408.80x = 78,612.30 × 12,965.94
  4. Step 4: Simplify right side
    52,408.80x = 1,019,282,365.06
  5. Step 5: Solve for x
    x = 1,019,282,365.06/52,408.80
  6. Step 6: Final answer
    x = 19,448.69

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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.