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Finding the Fourth Proportional to 28,585, 39,447.31 and 16,009.75

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Solution

The fourth proportional to 28,585, 39,447.31 and 16,009.75 is: 22,093.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,585 : 39,447.31 = 16,009.75 : x
  2. Step 2: Convert to fraction form
    28,585/39,447.31 = 16,009.75/x
  3. Step 3: Cross multiply
    28,585x = 39,447.31 × 16,009.75
  4. Step 4: Simplify right side
    28,585x = 631,541,571.27
  5. Step 5: Solve for x
    x = 631,541,571.27/28,585
  6. Step 6: Final answer
    x = 22,093.46

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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.