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Finding the Fourth Proportional to 21,357.74, 29,474.84 and 12,283

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Solution

The fourth proportional to 21,357.74, 29,474.84 and 12,283 is: 16,951.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,357.74 : 29,474.84 = 12,283 : x
  2. Step 2: Convert to fraction form
    21,357.74/29,474.84 = 12,283/x
  3. Step 3: Cross multiply
    21,357.74x = 29,474.84 × 12,283
  4. Step 4: Simplify right side
    21,357.74x = 362,039,459.72
  5. Step 5: Solve for x
    x = 362,039,459.72/21,357.74
  6. Step 6: Final answer
    x = 16,951.21

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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.