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Finding the Fourth Proportional to 21,505, 32,257.50 and 6,913

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Solution

The fourth proportional to 21,505, 32,257.50 and 6,913 is: 10,369.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,505 : 32,257.50 = 6,913 : x
  2. Step 2: Convert to fraction form
    21,505/32,257.50 = 6,913/x
  3. Step 3: Cross multiply
    21,505x = 32,257.50 × 6,913
  4. Step 4: Simplify right side
    21,505x = 222,996,097.50
  5. Step 5: Solve for x
    x = 222,996,097.50/21,505
  6. Step 6: Final answer
    x = 10,369.50

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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.