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Finding the Fourth Proportional to 28,605.25, 42,916.84 and 12,823.52

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Solution

The fourth proportional to 28,605.25, 42,916.84 and 12,823.52 is: 19,239.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,605.25 : 42,916.84 = 12,823.52 : x
  2. Step 2: Convert to fraction form
    28,605.25/42,916.84 = 12,823.52/x
  3. Step 3: Cross multiply
    28,605.25x = 42,916.84 × 12,823.52
  4. Step 4: Simplify right side
    28,605.25x = 550,344,709.43
  5. Step 5: Solve for x
    x = 550,344,709.43/28,605.25
  6. Step 6: Final answer
    x = 19,239.29

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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.