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Finding the Fourth Proportional to 30,351.78, 45,533.79 and 12,821.58

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Solution

The fourth proportional to 30,351.78, 45,533.79 and 12,821.58 is: 19,234.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,351.78 : 45,533.79 = 12,821.58 : x
  2. Step 2: Convert to fraction form
    30,351.78/45,533.79 = 12,821.58/x
  3. Step 3: Cross multiply
    30,351.78x = 45,533.79 × 12,821.58
  4. Step 4: Simplify right side
    30,351.78x = 583,815,131.19
  5. Step 5: Solve for x
    x = 583,815,131.19/30,351.78
  6. Step 6: Final answer
    x = 19,234.96

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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.