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Finding the Fourth Proportional to 14,188.80, 19,578.24 and 7,900

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Solution

The fourth proportional to 14,188.80, 19,578.24 and 7,900 is: 10,900.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,188.80 : 19,578.24 = 7,900 : x
  2. Step 2: Convert to fraction form
    14,188.80/19,578.24 = 7,900/x
  3. Step 3: Cross multiply
    14,188.80x = 19,578.24 × 7,900
  4. Step 4: Simplify right side
    14,188.80x = 154,668,096
  5. Step 5: Solve for x
    x = 154,668,096/14,188.80
  6. Step 6: Final answer
    x = 10,900.72

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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.