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Finding the Fourth Proportional to 2,190, 3,022.20 and 1,404.51

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Solution

The fourth proportional to 2,190, 3,022.20 and 1,404.51 is: 1,938.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190 : 3,022.20 = 1,404.51 : x
  2. Step 2: Convert to fraction form
    2,190/3,022.20 = 1,404.51/x
  3. Step 3: Cross multiply
    2,190x = 3,022.20 × 1,404.51
  4. Step 4: Simplify right side
    2,190x = 4,244,710.12
  5. Step 5: Solve for x
    x = 4,244,710.12/2,190
  6. Step 6: Final answer
    x = 1,938.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.