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Finding the Fourth Proportional to 13,787.65, 19,027.14 and 7,500.02

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Solution

The fourth proportional to 13,787.65, 19,027.14 and 7,500.02 is: 10,350.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,787.65 : 19,027.14 = 7,500.02 : x
  2. Step 2: Convert to fraction form
    13,787.65/19,027.14 = 7,500.02/x
  3. Step 3: Cross multiply
    13,787.65x = 19,027.14 × 7,500.02
  4. Step 4: Simplify right side
    13,787.65x = 142,703,930.54
  5. Step 5: Solve for x
    x = 142,703,930.54/13,787.65
  6. Step 6: Final answer
    x = 10,350.13

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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.