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Finding the Fourth Proportional to 28,783.50, 39,721.32 and 16,208.52

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Solution

The fourth proportional to 28,783.50, 39,721.32 and 16,208.52 is: 22,367.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,783.50 : 39,721.32 = 16,208.52 : x
  2. Step 2: Convert to fraction form
    28,783.50/39,721.32 = 16,208.52/x
  3. Step 3: Cross multiply
    28,783.50x = 39,721.32 × 16,208.52
  4. Step 4: Simplify right side
    28,783.50x = 643,823,809.65
  5. Step 5: Solve for x
    x = 643,823,809.65/28,783.50
  6. Step 6: Final answer
    x = 22,367.81

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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.