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Finding the Fourth Proportional to 30,458.68, 45,705.30 and 12,003.64

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Solution

The fourth proportional to 30,458.68, 45,705.30 and 12,003.64 is: 18,012.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,458.68 : 45,705.30 = 12,003.64 : x
  2. Step 2: Convert to fraction form
    30,458.68/45,705.30 = 12,003.64/x
  3. Step 3: Cross multiply
    30,458.68x = 45,705.30 × 12,003.64
  4. Step 4: Simplify right side
    30,458.68x = 548,629,967.29
  5. Step 5: Solve for x
    x = 548,629,967.29/30,458.68
  6. Step 6: Final answer
    x = 18,012.27

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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.