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Finding the Fourth Proportional to 28,605.75, 42,906.49 and 14,557

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Solution

The fourth proportional to 28,605.75, 42,906.49 and 14,557 is: 21,834.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,605.75 : 42,906.49 = 14,557 : x
  2. Step 2: Convert to fraction form
    28,605.75/42,906.49 = 14,557/x
  3. Step 3: Cross multiply
    28,605.75x = 42,906.49 × 14,557
  4. Step 4: Simplify right side
    28,605.75x = 624,589,774.93
  5. Step 5: Solve for x
    x = 624,589,774.93/28,605.75
  6. Step 6: Final answer
    x = 21,834.41

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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.