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Finding the Fourth Proportional to 21,271, 29,353.98 and 12,439

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Solution

The fourth proportional to 21,271, 29,353.98 and 12,439 is: 17,165.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,271 : 29,353.98 = 12,439 : x
  2. Step 2: Convert to fraction form
    21,271/29,353.98 = 12,439/x
  3. Step 3: Cross multiply
    21,271x = 29,353.98 × 12,439
  4. Step 4: Simplify right side
    21,271x = 365,134,157.22
  5. Step 5: Solve for x
    x = 365,134,157.22/21,271
  6. Step 6: Final answer
    x = 17,165.82

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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.