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Finding the Fourth Proportional to 30,343.50, 45,522.93 and 8,455.50

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Solution

The fourth proportional to 30,343.50, 45,522.93 and 8,455.50 is: 12,685.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,343.50 : 45,522.93 = 8,455.50 : x
  2. Step 2: Convert to fraction form
    30,343.50/45,522.93 = 8,455.50/x
  3. Step 3: Cross multiply
    30,343.50x = 45,522.93 × 8,455.50
  4. Step 4: Simplify right side
    30,343.50x = 384,919,134.62
  5. Step 5: Solve for x
    x = 384,919,134.62/30,343.50
  6. Step 6: Final answer
    x = 12,685.39

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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.