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Finding the Fourth Proportional to 14,179, 19,567.04 and 7,891.80

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Solution

The fourth proportional to 14,179, 19,567.04 and 7,891.80 is: 10,890.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,179 : 19,567.04 = 7,891.80 : x
  2. Step 2: Convert to fraction form
    14,179/19,567.04 = 7,891.80/x
  3. Step 3: Cross multiply
    14,179x = 19,567.04 × 7,891.80
  4. Step 4: Simplify right side
    14,179x = 154,419,166.27
  5. Step 5: Solve for x
    x = 154,419,166.27/14,179
  6. Step 6: Final answer
    x = 10,890.70

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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.