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Finding the Fourth Proportional to 30,433.20, 45,646.20 and 8,245.20

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Solution

The fourth proportional to 30,433.20, 45,646.20 and 8,245.20 is: 12,366.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,433.20 : 45,646.20 = 8,245.20 : x
  2. Step 2: Convert to fraction form
    30,433.20/45,646.20 = 8,245.20/x
  3. Step 3: Cross multiply
    30,433.20x = 45,646.20 × 8,245.20
  4. Step 4: Simplify right side
    30,433.20x = 376,362,048.24
  5. Step 5: Solve for x
    x = 376,362,048.24/30,433.20
  6. Step 6: Final answer
    x = 12,366.82

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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.