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Finding the Fourth Proportional to 9,251.14, 13,875.81 and 5,089.78

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Solution

The fourth proportional to 9,251.14, 13,875.81 and 5,089.78 is: 7,634.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,251.14 : 13,875.81 = 5,089.78 : x
  2. Step 2: Convert to fraction form
    9,251.14/13,875.81 = 5,089.78/x
  3. Step 3: Cross multiply
    9,251.14x = 13,875.81 × 5,089.78
  4. Step 4: Simplify right side
    9,251.14x = 70,624,820.22
  5. Step 5: Solve for x
    x = 70,624,820.22/9,251.14
  6. Step 6: Final answer
    x = 7,634.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.