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Finding the Fourth Proportional to 14,214.67, 19,616 and 7,841.87

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Solution

The fourth proportional to 14,214.67, 19,616 and 7,841.87 is: 10,821.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,214.67 : 19,616 = 7,841.87 : x
  2. Step 2: Convert to fraction form
    14,214.67/19,616 = 7,841.87/x
  3. Step 3: Cross multiply
    14,214.67x = 19,616 × 7,841.87
  4. Step 4: Simplify right side
    14,214.67x = 153,826,121.92
  5. Step 5: Solve for x
    x = 153,826,121.92/14,214.67
  6. Step 6: Final answer
    x = 10,821.65

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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.