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Finding the Fourth Proportional to 21,018, 29,004.84 and 11,586.78

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Solution

The fourth proportional to 21,018, 29,004.84 and 11,586.78 is: 15,989.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,018 : 29,004.84 = 11,586.78 : x
  2. Step 2: Convert to fraction form
    21,018/29,004.84 = 11,586.78/x
  3. Step 3: Cross multiply
    21,018x = 29,004.84 × 11,586.78
  4. Step 4: Simplify right side
    21,018x = 336,072,700.02
  5. Step 5: Solve for x
    x = 336,072,700.02/21,018
  6. Step 6: Final answer
    x = 15,989.76

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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.