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Finding the Fourth Proportional to 30,465, 45,704.22 and 12,949.80

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Solution

The fourth proportional to 30,465, 45,704.22 and 12,949.80 is: 19,427.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,465 : 45,704.22 = 12,949.80 : x
  2. Step 2: Convert to fraction form
    30,465/45,704.22 = 12,949.80/x
  3. Step 3: Cross multiply
    30,465x = 45,704.22 × 12,949.80
  4. Step 4: Simplify right side
    30,465x = 591,860,508.16
  5. Step 5: Solve for x
    x = 591,860,508.16/30,465
  6. Step 6: Final answer
    x = 19,427.56

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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.