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Finding the Fourth Proportional to 52,782.65, 79,174.49 and 13,339.77

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Solution

The fourth proportional to 52,782.65, 79,174.49 and 13,339.77 is: 20,009.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,782.65 : 79,174.49 = 13,339.77 : x
  2. Step 2: Convert to fraction form
    52,782.65/79,174.49 = 13,339.77/x
  3. Step 3: Cross multiply
    52,782.65x = 79,174.49 × 13,339.77
  4. Step 4: Simplify right side
    52,782.65x = 1,056,169,122.86
  5. Step 5: Solve for x
    x = 1,056,169,122.86/52,782.65
  6. Step 6: Final answer
    x = 20,009.78

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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.