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Finding the Fourth Proportional to 13,895.38, 19,179 and 8,587

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Solution

The fourth proportional to 13,895.38, 19,179 and 8,587 is: 11,852.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,895.38 : 19,179 = 8,587 : x
  2. Step 2: Convert to fraction form
    13,895.38/19,179 = 8,587/x
  3. Step 3: Cross multiply
    13,895.38x = 19,179 × 8,587
  4. Step 4: Simplify right side
    13,895.38x = 164,690,073
  5. Step 5: Solve for x
    x = 164,690,073/13,895.38
  6. Step 6: Final answer
    x = 11,852.15

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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.