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Finding the Fourth Proportional to 3,266.69, 4,900.95 and 1,320.26

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Solution

The fourth proportional to 3,266.69, 4,900.95 and 1,320.26 is: 1,980.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.69 : 4,900.95 = 1,320.26 : x
  2. Step 2: Convert to fraction form
    3,266.69/4,900.95 = 1,320.26/x
  3. Step 3: Cross multiply
    3,266.69x = 4,900.95 × 1,320.26
  4. Step 4: Simplify right side
    3,266.69x = 6,470,503.74
  5. Step 5: Solve for x
    x = 6,470,503.74/3,266.69
  6. Step 6: Final answer
    x = 1,980.76

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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.