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Finding the Fourth Proportional to 30,653.56, 45,975.48 and 8,462.80

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Solution

The fourth proportional to 30,653.56, 45,975.48 and 8,462.80 is: 12,692.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,653.56 : 45,975.48 = 8,462.80 : x
  2. Step 2: Convert to fraction form
    30,653.56/45,975.48 = 8,462.80/x
  3. Step 3: Cross multiply
    30,653.56x = 45,975.48 × 8,462.80
  4. Step 4: Simplify right side
    30,653.56x = 389,081,292.14
  5. Step 5: Solve for x
    x = 389,081,292.14/30,653.56
  6. Step 6: Final answer
    x = 12,692.86

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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.