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Finding the Fourth Proportional to 28,500, 39,330 and 15,924.75

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Solution

The fourth proportional to 28,500, 39,330 and 15,924.75 is: 21,976.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,500 : 39,330 = 15,924.75 : x
  2. Step 2: Convert to fraction form
    28,500/39,330 = 15,924.75/x
  3. Step 3: Cross multiply
    28,500x = 39,330 × 15,924.75
  4. Step 4: Simplify right side
    28,500x = 626,320,417.50
  5. Step 5: Solve for x
    x = 626,320,417.50/28,500
  6. Step 6: Final answer
    x = 21,976.16

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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.