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Finding the Fourth Proportional to 13,832.51, 19,088.87 and 7,864.54

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Solution

The fourth proportional to 13,832.51, 19,088.87 and 7,864.54 is: 10,853.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,832.51 : 19,088.87 = 7,864.54 : x
  2. Step 2: Convert to fraction form
    13,832.51/19,088.87 = 7,864.54/x
  3. Step 3: Cross multiply
    13,832.51x = 19,088.87 × 7,864.54
  4. Step 4: Simplify right side
    13,832.51x = 150,125,202.00
  5. Step 5: Solve for x
    x = 150,125,202.00/13,832.51
  6. Step 6: Final answer
    x = 10,853.07

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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.