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Finding the Fourth Proportional to 30,601.84, 45,896.82 and 8,409.52

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Solution

The fourth proportional to 30,601.84, 45,896.82 and 8,409.52 is: 12,612.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,601.84 : 45,896.82 = 8,409.52 : x
  2. Step 2: Convert to fraction form
    30,601.84/45,896.82 = 8,409.52/x
  3. Step 3: Cross multiply
    30,601.84x = 45,896.82 × 8,409.52
  4. Step 4: Simplify right side
    30,601.84x = 385,970,225.73
  5. Step 5: Solve for x
    x = 385,970,225.73/30,601.84
  6. Step 6: Final answer
    x = 12,612.65

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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.