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Finding the Fourth Proportional to 30,042.20, 45,066 and 7,855.22

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Solution

The fourth proportional to 30,042.20, 45,066 and 7,855.22 is: 11,783.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,042.20 : 45,066 = 7,855.22 : x
  2. Step 2: Convert to fraction form
    30,042.20/45,066 = 7,855.22/x
  3. Step 3: Cross multiply
    30,042.20x = 45,066 × 7,855.22
  4. Step 4: Simplify right side
    30,042.20x = 354,003,344.52
  5. Step 5: Solve for x
    x = 354,003,344.52/30,042.20
  6. Step 6: Final answer
    x = 11,783.54

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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.