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Finding the Fourth Proportional to 21,548.84, 29,737.14 and 12,119

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Solution

The fourth proportional to 21,548.84, 29,737.14 and 12,119 is: 16,724.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,548.84 : 29,737.14 = 12,119 : x
  2. Step 2: Convert to fraction form
    21,548.84/29,737.14 = 12,119/x
  3. Step 3: Cross multiply
    21,548.84x = 29,737.14 × 12,119
  4. Step 4: Simplify right side
    21,548.84x = 360,384,399.66
  5. Step 5: Solve for x
    x = 360,384,399.66/21,548.84
  6. Step 6: Final answer
    x = 16,724.07

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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.