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Finding the Fourth Proportional to 13,795.98, 19,038.15 and 7,827.54

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Solution

The fourth proportional to 13,795.98, 19,038.15 and 7,827.54 is: 10,801.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,795.98 : 19,038.15 = 7,827.54 : x
  2. Step 2: Convert to fraction form
    13,795.98/19,038.15 = 7,827.54/x
  3. Step 3: Cross multiply
    13,795.98x = 19,038.15 × 7,827.54
  4. Step 4: Simplify right side
    13,795.98x = 149,021,880.65
  5. Step 5: Solve for x
    x = 149,021,880.65/13,795.98
  6. Step 6: Final answer
    x = 10,801.83

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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.