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Finding the Fourth Proportional to 13,891.65, 19,165.71 and 7,919

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Solution

The fourth proportional to 13,891.65, 19,165.71 and 7,919 is: 10,925.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,891.65 : 19,165.71 = 7,919 : x
  2. Step 2: Convert to fraction form
    13,891.65/19,165.71 = 7,919/x
  3. Step 3: Cross multiply
    13,891.65x = 19,165.71 × 7,919
  4. Step 4: Simplify right side
    13,891.65x = 151,773,257.49
  5. Step 5: Solve for x
    x = 151,773,257.49/13,891.65
  6. Step 6: Final answer
    x = 10,925.50

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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.