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Finding the Fourth Proportional to 30,661.74, 45,991.40 and 9,601.34

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Solution

The fourth proportional to 30,661.74, 45,991.40 and 9,601.34 is: 14,401.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,661.74 : 45,991.40 = 9,601.34 : x
  2. Step 2: Convert to fraction form
    30,661.74/45,991.40 = 9,601.34/x
  3. Step 3: Cross multiply
    30,661.74x = 45,991.40 × 9,601.34
  4. Step 4: Simplify right side
    30,661.74x = 441,578,790.51
  5. Step 5: Solve for x
    x = 441,578,790.51/30,661.74
  6. Step 6: Final answer
    x = 14,401.62

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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.