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Finding the Fourth Proportional to 28,868, 39,838.80 and 17,687.84

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Solution

The fourth proportional to 28,868, 39,838.80 and 17,687.84 is: 24,409.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,868 : 39,838.80 = 17,687.84 : x
  2. Step 2: Convert to fraction form
    28,868/39,838.80 = 17,687.84/x
  3. Step 3: Cross multiply
    28,868x = 39,838.80 × 17,687.84
  4. Step 4: Simplify right side
    28,868x = 704,662,320.19
  5. Step 5: Solve for x
    x = 704,662,320.19/28,868
  6. Step 6: Final answer
    x = 24,409.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.