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Finding the Fourth Proportional to 28,894.36, 39,874.36 and 16,147.75

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Solution

The fourth proportional to 28,894.36, 39,874.36 and 16,147.75 is: 22,283.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,894.36 : 39,874.36 = 16,147.75 : x
  2. Step 2: Convert to fraction form
    28,894.36/39,874.36 = 16,147.75/x
  3. Step 3: Cross multiply
    28,894.36x = 39,874.36 × 16,147.75
  4. Step 4: Simplify right side
    28,894.36x = 643,881,365.46
  5. Step 5: Solve for x
    x = 643,881,365.46/28,894.36
  6. Step 6: Final answer
    x = 22,283.98

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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.