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Finding the Fourth Proportional to 14,121.66, 19,487.34 and 7,833.90

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Solution

The fourth proportional to 14,121.66, 19,487.34 and 7,833.90 is: 10,810.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,121.66 : 19,487.34 = 7,833.90 : x
  2. Step 2: Convert to fraction form
    14,121.66/19,487.34 = 7,833.90/x
  3. Step 3: Cross multiply
    14,121.66x = 19,487.34 × 7,833.90
  4. Step 4: Simplify right side
    14,121.66x = 152,661,872.83
  5. Step 5: Solve for x
    x = 152,661,872.83/14,121.66
  6. Step 6: Final answer
    x = 10,810.48

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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.