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Finding the Fourth Proportional to 13,885.65, 19,162.12 and 12,756

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Solution

The fourth proportional to 13,885.65, 19,162.12 and 12,756 is: 17,603.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,885.65 : 19,162.12 = 12,756 : x
  2. Step 2: Convert to fraction form
    13,885.65/19,162.12 = 12,756/x
  3. Step 3: Cross multiply
    13,885.65x = 19,162.12 × 12,756
  4. Step 4: Simplify right side
    13,885.65x = 244,431,970.83
  5. Step 5: Solve for x
    x = 244,431,970.83/13,885.65
  6. Step 6: Final answer
    x = 17,603.21

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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.