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Finding the Fourth Proportional to 30,580.96, 45,863.13 and 8,389.08

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Solution

The fourth proportional to 30,580.96, 45,863.13 and 8,389.08 is: 12,581.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,580.96 : 45,863.13 = 8,389.08 : x
  2. Step 2: Convert to fraction form
    30,580.96/45,863.13 = 8,389.08/x
  3. Step 3: Cross multiply
    30,580.96x = 45,863.13 × 8,389.08
  4. Step 4: Simplify right side
    30,580.96x = 384,749,466.62
  5. Step 5: Solve for x
    x = 384,749,466.62/30,580.96
  6. Step 6: Final answer
    x = 12,581.34

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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.