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Finding the Fourth Proportional to 14,021.65, 19,349.43 and 7,972.54

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Solution

The fourth proportional to 14,021.65, 19,349.43 and 7,972.54 is: 11,001.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,021.65 : 19,349.43 = 7,972.54 : x
  2. Step 2: Convert to fraction form
    14,021.65/19,349.43 = 7,972.54/x
  3. Step 3: Cross multiply
    14,021.65x = 19,349.43 × 7,972.54
  4. Step 4: Simplify right side
    14,021.65x = 154,264,104.65
  5. Step 5: Solve for x
    x = 154,264,104.65/14,021.65
  6. Step 6: Final answer
    x = 11,001.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.