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Finding the Fourth Proportional to 35,289, 52,933.50 and 10,665

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Solution

The fourth proportional to 35,289, 52,933.50 and 10,665 is: 15,997.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,289 : 52,933.50 = 10,665 : x
  2. Step 2: Convert to fraction form
    35,289/52,933.50 = 10,665/x
  3. Step 3: Cross multiply
    35,289x = 52,933.50 × 10,665
  4. Step 4: Simplify right side
    35,289x = 564,535,777.50
  5. Step 5: Solve for x
    x = 564,535,777.50/35,289
  6. Step 6: Final answer
    x = 15,997.50

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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.