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Finding the Fourth Proportional to 15,889.78, 21,927 and 9,175

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Solution

The fourth proportional to 15,889.78, 21,927 and 9,175 is: 12,660.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,889.78 : 21,927 = 9,175 : x
  2. Step 2: Convert to fraction form
    15,889.78/21,927 = 9,175/x
  3. Step 3: Cross multiply
    15,889.78x = 21,927 × 9,175
  4. Step 4: Simplify right side
    15,889.78x = 201,180,225
  5. Step 5: Solve for x
    x = 201,180,225/15,889.78
  6. Step 6: Final answer
    x = 12,660.98

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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.