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Finding the Fourth Proportional to 28,402, 39,194.95 and 16,299.26

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Solution

The fourth proportional to 28,402, 39,194.95 and 16,299.26 is: 22,493.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,402 : 39,194.95 = 16,299.26 : x
  2. Step 2: Convert to fraction form
    28,402/39,194.95 = 16,299.26/x
  3. Step 3: Cross multiply
    28,402x = 39,194.95 × 16,299.26
  4. Step 4: Simplify right side
    28,402x = 638,848,680.74
  5. Step 5: Solve for x
    x = 638,848,680.74/28,402
  6. Step 6: Final answer
    x = 22,493.09

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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.