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Finding the Fourth Proportional to 30,581.26, 45,866.96 and 8,389.48

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Solution

The fourth proportional to 30,581.26, 45,866.96 and 8,389.48 is: 12,582.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,581.26 : 45,866.96 = 8,389.48 : x
  2. Step 2: Convert to fraction form
    30,581.26/45,866.96 = 8,389.48/x
  3. Step 3: Cross multiply
    30,581.26x = 45,866.96 × 8,389.48
  4. Step 4: Simplify right side
    30,581.26x = 384,799,943.58
  5. Step 5: Solve for x
    x = 384,799,943.58/30,581.26
  6. Step 6: Final answer
    x = 12,582.87

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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.