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Finding the Fourth Proportional to 13,838.84, 20,832.14 and 12,410

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Solution

The fourth proportional to 13,838.84, 20,832.14 and 12,410 is: 18,681.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,838.84 : 20,832.14 = 12,410 : x
  2. Step 2: Convert to fraction form
    13,838.84/20,832.14 = 12,410/x
  3. Step 3: Cross multiply
    13,838.84x = 20,832.14 × 12,410
  4. Step 4: Simplify right side
    13,838.84x = 258,526,857.40
  5. Step 5: Solve for x
    x = 258,526,857.40/13,838.84
  6. Step 6: Final answer
    x = 18,681.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.