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Finding the Fourth Proportional to 30,577.03, 45,865.56 and 8,390.54

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Solution

The fourth proportional to 30,577.03, 45,865.56 and 8,390.54 is: 12,585.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,577.03 : 45,865.56 = 8,390.54 : x
  2. Step 2: Convert to fraction form
    30,577.03/45,865.56 = 8,390.54/x
  3. Step 3: Cross multiply
    30,577.03x = 45,865.56 × 8,390.54
  4. Step 4: Simplify right side
    30,577.03x = 384,836,815.80
  5. Step 5: Solve for x
    x = 384,836,815.80/30,577.03
  6. Step 6: Final answer
    x = 12,585.81

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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.