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Finding the Fourth Proportional to 1,980, 2,965.54 and 1,486.96

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Solution

The fourth proportional to 1,980, 2,965.54 and 1,486.96 is: 2,227.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980 : 2,965.54 = 1,486.96 : x
  2. Step 2: Convert to fraction form
    1,980/2,965.54 = 1,486.96/x
  3. Step 3: Cross multiply
    1,980x = 2,965.54 × 1,486.96
  4. Step 4: Simplify right side
    1,980x = 4,409,639.36
  5. Step 5: Solve for x
    x = 4,409,639.36/1,980
  6. Step 6: Final answer
    x = 2,227.09

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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.