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Finding the Fourth Proportional to 13,486.50, 20,237.04 and 6,561

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Solution

The fourth proportional to 13,486.50, 20,237.04 and 6,561 is: 9,845.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,486.50 : 20,237.04 = 6,561 : x
  2. Step 2: Convert to fraction form
    13,486.50/20,237.04 = 6,561/x
  3. Step 3: Cross multiply
    13,486.50x = 20,237.04 × 6,561
  4. Step 4: Simplify right side
    13,486.50x = 132,775,219.44
  5. Step 5: Solve for x
    x = 132,775,219.44/13,486.50
  6. Step 6: Final answer
    x = 9,845.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.