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Finding the Fourth Proportional to 30,402, 45,603 and 8,213.67

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Solution

The fourth proportional to 30,402, 45,603 and 8,213.67 is: 12,320.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,402 : 45,603 = 8,213.67 : x
  2. Step 2: Convert to fraction form
    30,402/45,603 = 8,213.67/x
  3. Step 3: Cross multiply
    30,402x = 45,603 × 8,213.67
  4. Step 4: Simplify right side
    30,402x = 374,567,993.01
  5. Step 5: Solve for x
    x = 374,567,993.01/30,402
  6. Step 6: Final answer
    x = 12,320.51

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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.