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Finding the Fourth Proportional to 20,754.50, 28,641.22 and 13,302.50

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Solution

The fourth proportional to 20,754.50, 28,641.22 and 13,302.50 is: 18,357.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,754.50 : 28,641.22 = 13,302.50 : x
  2. Step 2: Convert to fraction form
    20,754.50/28,641.22 = 13,302.50/x
  3. Step 3: Cross multiply
    20,754.50x = 28,641.22 × 13,302.50
  4. Step 4: Simplify right side
    20,754.50x = 380,999,829.05
  5. Step 5: Solve for x
    x = 380,999,829.05/20,754.50
  6. Step 6: Final answer
    x = 18,357.46

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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.