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Finding the Fourth Proportional to 30,651.92, 45,978.02 and 9,304.82

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Solution

The fourth proportional to 30,651.92, 45,978.02 and 9,304.82 is: 13,957.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,651.92 : 45,978.02 = 9,304.82 : x
  2. Step 2: Convert to fraction form
    30,651.92/45,978.02 = 9,304.82/x
  3. Step 3: Cross multiply
    30,651.92x = 45,978.02 × 9,304.82
  4. Step 4: Simplify right side
    30,651.92x = 427,816,993.43
  5. Step 5: Solve for x
    x = 427,816,993.43/30,651.92
  6. Step 6: Final answer
    x = 13,957.27

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1.5x scale

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.