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Finding the Fourth Proportional to 28,764, 39,696.48 and 16,188.48

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Solution

The fourth proportional to 28,764, 39,696.48 and 16,188.48 is: 22,341.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,764 : 39,696.48 = 16,188.48 : x
  2. Step 2: Convert to fraction form
    28,764/39,696.48 = 16,188.48/x
  3. Step 3: Cross multiply
    28,764x = 39,696.48 × 16,188.48
  4. Step 4: Simplify right side
    28,764x = 642,625,672.55
  5. Step 5: Solve for x
    x = 642,625,672.55/28,764
  6. Step 6: Final answer
    x = 22,341.32

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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.