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Finding the Fourth Proportional to 30,297.11, 45,445 and 8,110.49

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Solution

The fourth proportional to 30,297.11, 45,445 and 8,110.49 is: 12,165.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,297.11 : 45,445 = 8,110.49 : x
  2. Step 2: Convert to fraction form
    30,297.11/45,445 = 8,110.49/x
  3. Step 3: Cross multiply
    30,297.11x = 45,445 × 8,110.49
  4. Step 4: Simplify right side
    30,297.11x = 368,581,218.05
  5. Step 5: Solve for x
    x = 368,581,218.05/30,297.11
  6. Step 6: Final answer
    x = 12,165.56

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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.