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Finding the Fourth Proportional to 3,289.26, 4,934.02 and 980.76

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Solution

The fourth proportional to 3,289.26, 4,934.02 and 980.76 is: 1,471.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,289.26 : 4,934.02 = 980.76 : x
  2. Step 2: Convert to fraction form
    3,289.26/4,934.02 = 980.76/x
  3. Step 3: Cross multiply
    3,289.26x = 4,934.02 × 980.76
  4. Step 4: Simplify right side
    3,289.26x = 4,839,089.46
  5. Step 5: Solve for x
    x = 4,839,089.46/3,289.26
  6. Step 6: Final answer
    x = 1,471.18

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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.