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Finding the Fourth Proportional to 30,709.70, 45,747.60 and 29,780.44

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Solution

The fourth proportional to 30,709.70, 45,747.60 and 29,780.44 is: 44,363.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,709.70 : 45,747.60 = 29,780.44 : x
  2. Step 2: Convert to fraction form
    30,709.70/45,747.60 = 29,780.44/x
  3. Step 3: Cross multiply
    30,709.70x = 45,747.60 × 29,780.44
  4. Step 4: Simplify right side
    30,709.70x = 1,362,383,656.94
  5. Step 5: Solve for x
    x = 1,362,383,656.94/30,709.70
  6. Step 6: Final answer
    x = 44,363.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.