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Finding the Fourth Proportional to 38,802.32, 58,220.76 and 20,330

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Solution

The fourth proportional to 38,802.32, 58,220.76 and 20,330 is: 30,504.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,802.32 : 58,220.76 = 20,330 : x
  2. Step 2: Convert to fraction form
    38,802.32/58,220.76 = 20,330/x
  3. Step 3: Cross multiply
    38,802.32x = 58,220.76 × 20,330
  4. Step 4: Simplify right side
    38,802.32x = 1,183,628,050.80
  5. Step 5: Solve for x
    x = 1,183,628,050.80/38,802.32
  6. Step 6: Final answer
    x = 30,504.05

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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.