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Finding the Fourth Proportional to 30,606.44, 45,909.86 and 8,422.16

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Solution

The fourth proportional to 30,606.44, 45,909.86 and 8,422.16 is: 12,633.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,606.44 : 45,909.86 = 8,422.16 : x
  2. Step 2: Convert to fraction form
    30,606.44/45,909.86 = 8,422.16/x
  3. Step 3: Cross multiply
    30,606.44x = 45,909.86 × 8,422.16
  4. Step 4: Simplify right side
    30,606.44x = 386,660,186.50
  5. Step 5: Solve for x
    x = 386,660,186.50/30,606.44
  6. Step 6: Final answer
    x = 12,633.30

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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.