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Finding the Fourth Proportional to 30,018, 45,027 and 8,130

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Solution

The fourth proportional to 30,018, 45,027 and 8,130 is: 12,195

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,018 : 45,027 = 8,130 : x
  2. Step 2: Convert to fraction form
    30,018/45,027 = 8,130/x
  3. Step 3: Cross multiply
    30,018x = 45,027 × 8,130
  4. Step 4: Simplify right side
    30,018x = 366,069,510
  5. Step 5: Solve for x
    x = 366,069,510/30,018
  6. Step 6: Final answer
    x = 12,195

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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.