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Finding the Fourth Proportional to 30,541.44, 45,819 and 11,821.68

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Solution

The fourth proportional to 30,541.44, 45,819 and 11,821.68 is: 17,735.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,541.44 : 45,819 = 11,821.68 : x
  2. Step 2: Convert to fraction form
    30,541.44/45,819 = 11,821.68/x
  3. Step 3: Cross multiply
    30,541.44x = 45,819 × 11,821.68
  4. Step 4: Simplify right side
    30,541.44x = 541,657,555.92
  5. Step 5: Solve for x
    x = 541,657,555.92/30,541.44
  6. Step 6: Final answer
    x = 17,735.17

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1.5x scale

Why These Related Problems?

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