Home / 1,980-2,971.14-1,102.62

Finding the Fourth Proportional to 1,980, 2,971.14 and 1,102.62

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Solution

The fourth proportional to 1,980, 2,971.14 and 1,102.62 is: 1,654.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980 : 2,971.14 = 1,102.62 : x
  2. Step 2: Convert to fraction form
    1,980/2,971.14 = 1,102.62/x
  3. Step 3: Cross multiply
    1,980x = 2,971.14 × 1,102.62
  4. Step 4: Simplify right side
    1,980x = 3,276,038.39
  5. Step 5: Solve for x
    x = 3,276,038.39/1,980
  6. Step 6: Final answer
    x = 1,654.56

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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.