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Finding the Fourth Proportional to 31,441.49, 47,102.81 and 18,580.29

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Solution

The fourth proportional to 31,441.49, 47,102.81 and 18,580.29 is: 27,835.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,441.49 : 47,102.81 = 18,580.29 : x
  2. Step 2: Convert to fraction form
    31,441.49/47,102.81 = 18,580.29/x
  3. Step 3: Cross multiply
    31,441.49x = 47,102.81 × 18,580.29
  4. Step 4: Simplify right side
    31,441.49x = 875,183,776.71
  5. Step 5: Solve for x
    x = 875,183,776.71/31,441.49
  6. Step 6: Final answer
    x = 27,835.32

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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.