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Finding the Fourth Proportional to 28,367.88, 42,537.24 and 12,777

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Solution

The fourth proportional to 28,367.88, 42,537.24 and 12,777 is: 19,158.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,367.88 : 42,537.24 = 12,777 : x
  2. Step 2: Convert to fraction form
    28,367.88/42,537.24 = 12,777/x
  3. Step 3: Cross multiply
    28,367.88x = 42,537.24 × 12,777
  4. Step 4: Simplify right side
    28,367.88x = 543,498,315.48
  5. Step 5: Solve for x
    x = 543,498,315.48/28,367.88
  6. Step 6: Final answer
    x = 19,158.93

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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.