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Finding the Fourth Proportional to 28,833.50, 39,790.23 and 15,585.50

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Solution

The fourth proportional to 28,833.50, 39,790.23 and 15,585.50 is: 21,507.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,833.50 : 39,790.23 = 15,585.50 : x
  2. Step 2: Convert to fraction form
    28,833.50/39,790.23 = 15,585.50/x
  3. Step 3: Cross multiply
    28,833.50x = 39,790.23 × 15,585.50
  4. Step 4: Simplify right side
    28,833.50x = 620,150,629.67
  5. Step 5: Solve for x
    x = 620,150,629.67/28,833.50
  6. Step 6: Final answer
    x = 21,507.99

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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.