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Finding the Fourth Proportional to 13,912, 19,198.58 and 7,624.24

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Solution

The fourth proportional to 13,912, 19,198.58 and 7,624.24 is: 10,521.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,912 : 19,198.58 = 7,624.24 : x
  2. Step 2: Convert to fraction form
    13,912/19,198.58 = 7,624.24/x
  3. Step 3: Cross multiply
    13,912x = 19,198.58 × 7,624.24
  4. Step 4: Simplify right side
    13,912x = 146,374,581.58
  5. Step 5: Solve for x
    x = 146,374,581.58/13,912
  6. Step 6: Final answer
    x = 10,521.46

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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.