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Finding the Fourth Proportional to 30,660, 45,990 and 8,473.60

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Solution

The fourth proportional to 30,660, 45,990 and 8,473.60 is: 12,710.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,660 : 45,990 = 8,473.60 : x
  2. Step 2: Convert to fraction form
    30,660/45,990 = 8,473.60/x
  3. Step 3: Cross multiply
    30,660x = 45,990 × 8,473.60
  4. Step 4: Simplify right side
    30,660x = 389,700,864
  5. Step 5: Solve for x
    x = 389,700,864/30,660
  6. Step 6: Final answer
    x = 12,710.40

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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.