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Finding the Fourth Proportional to 28,544.86, 42,787.86 and 11,914.57

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Solution

The fourth proportional to 28,544.86, 42,787.86 and 11,914.57 is: 17,859.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,544.86 : 42,787.86 = 11,914.57 : x
  2. Step 2: Convert to fraction form
    28,544.86/42,787.86 = 11,914.57/x
  3. Step 3: Cross multiply
    28,544.86x = 42,787.86 × 11,914.57
  4. Step 4: Simplify right side
    28,544.86x = 509,798,953.12
  5. Step 5: Solve for x
    x = 509,798,953.12/28,544.86
  6. Step 6: Final answer
    x = 17,859.57

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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.