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Finding the Fourth Proportional to 3,902.26, 5,852.92 and 980.38

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Solution

The fourth proportional to 3,902.26, 5,852.92 and 980.38 is: 1,470.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.26 : 5,852.92 = 980.38 : x
  2. Step 2: Convert to fraction form
    3,902.26/5,852.92 = 980.38/x
  3. Step 3: Cross multiply
    3,902.26x = 5,852.92 × 980.38
  4. Step 4: Simplify right side
    3,902.26x = 5,738,085.71
  5. Step 5: Solve for x
    x = 5,738,085.71/3,902.26
  6. Step 6: Final answer
    x = 1,470.45

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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.