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Finding the Fourth Proportional to 14,188.84, 19,578.18 and 7,900

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Solution

The fourth proportional to 14,188.84, 19,578.18 and 7,900 is: 10,900.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,188.84 : 19,578.18 = 7,900 : x
  2. Step 2: Convert to fraction form
    14,188.84/19,578.18 = 7,900/x
  3. Step 3: Cross multiply
    14,188.84x = 19,578.18 × 7,900
  4. Step 4: Simplify right side
    14,188.84x = 154,667,622
  5. Step 5: Solve for x
    x = 154,667,622/14,188.84
  6. Step 6: Final answer
    x = 10,900.65

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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.