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Finding the Fourth Proportional to 30,603.21, 45,903.60 and 8,415.99

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Solution

The fourth proportional to 30,603.21, 45,903.60 and 8,415.99 is: 12,623.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,603.21 : 45,903.60 = 8,415.99 : x
  2. Step 2: Convert to fraction form
    30,603.21/45,903.60 = 8,415.99/x
  3. Step 3: Cross multiply
    30,603.21x = 45,903.60 × 8,415.99
  4. Step 4: Simplify right side
    30,603.21x = 386,324,238.56
  5. Step 5: Solve for x
    x = 386,324,238.56/30,603.21
  6. Step 6: Final answer
    x = 12,623.65

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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.