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Finding the Fourth Proportional to 30,138, 45,216.48 and 13,512

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Solution

The fourth proportional to 30,138, 45,216.48 and 13,512 is: 20,272.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,138 : 45,216.48 = 13,512 : x
  2. Step 2: Convert to fraction form
    30,138/45,216.48 = 13,512/x
  3. Step 3: Cross multiply
    30,138x = 45,216.48 × 13,512
  4. Step 4: Simplify right side
    30,138x = 610,965,077.76
  5. Step 5: Solve for x
    x = 610,965,077.76/30,138
  6. Step 6: Final answer
    x = 20,272.25

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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.