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Finding the Fourth Proportional to 3,295.52, 4,943.10 and 830.34

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Solution

The fourth proportional to 3,295.52, 4,943.10 and 830.34 is: 1,245.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,295.52 : 4,943.10 = 830.34 : x
  2. Step 2: Convert to fraction form
    3,295.52/4,943.10 = 830.34/x
  3. Step 3: Cross multiply
    3,295.52x = 4,943.10 × 830.34
  4. Step 4: Simplify right side
    3,295.52x = 4,104,453.65
  5. Step 5: Solve for x
    x = 4,104,453.65/3,295.52
  6. Step 6: Final answer
    x = 1,245.46

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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.