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Finding the Fourth Proportional to 21,584, 29,787.14 and 12,153.18

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Solution

The fourth proportional to 21,584, 29,787.14 and 12,153.18 is: 16,772.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,584 : 29,787.14 = 12,153.18 : x
  2. Step 2: Convert to fraction form
    21,584/29,787.14 = 12,153.18/x
  3. Step 3: Cross multiply
    21,584x = 29,787.14 × 12,153.18
  4. Step 4: Simplify right side
    21,584x = 362,008,474.11
  5. Step 5: Solve for x
    x = 362,008,474.11/21,584
  6. Step 6: Final answer
    x = 16,772.08

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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.