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Finding the Fourth Proportional to 15,957, 23,935.50 and 7,181.66

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Solution

The fourth proportional to 15,957, 23,935.50 and 7,181.66 is: 10,772.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,957 : 23,935.50 = 7,181.66 : x
  2. Step 2: Convert to fraction form
    15,957/23,935.50 = 7,181.66/x
  3. Step 3: Cross multiply
    15,957x = 23,935.50 × 7,181.66
  4. Step 4: Simplify right side
    15,957x = 171,896,622.93
  5. Step 5: Solve for x
    x = 171,896,622.93/15,957
  6. Step 6: Final answer
    x = 10,772.49

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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.