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Finding the Fourth Proportional to 30,581.33, 45,863.70 and 8,389.46

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Solution

The fourth proportional to 30,581.33, 45,863.70 and 8,389.46 is: 12,581.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,581.33 : 45,863.70 = 8,389.46 : x
  2. Step 2: Convert to fraction form
    30,581.33/45,863.70 = 8,389.46/x
  3. Step 3: Cross multiply
    30,581.33x = 45,863.70 × 8,389.46
  4. Step 4: Simplify right side
    30,581.33x = 384,771,634.65
  5. Step 5: Solve for x
    x = 384,771,634.65/30,581.33
  6. Step 6: Final answer
    x = 12,581.91

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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.