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Finding the Fourth Proportional to 30,040.20, 45,063 and 7,853.22

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Solution

The fourth proportional to 30,040.20, 45,063 and 7,853.22 is: 11,780.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,040.20 : 45,063 = 7,853.22 : x
  2. Step 2: Convert to fraction form
    30,040.20/45,063 = 7,853.22/x
  3. Step 3: Cross multiply
    30,040.20x = 45,063 × 7,853.22
  4. Step 4: Simplify right side
    30,040.20x = 353,889,652.86
  5. Step 5: Solve for x
    x = 353,889,652.86/30,040.20
  6. Step 6: Final answer
    x = 11,780.54

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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.