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Finding the Fourth Proportional to 1,976.60, 2,728.01 and 1,506.06

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Solution

The fourth proportional to 1,976.60, 2,728.01 and 1,506.06 is: 2,078.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.60 : 2,728.01 = 1,506.06 : x
  2. Step 2: Convert to fraction form
    1,976.60/2,728.01 = 1,506.06/x
  3. Step 3: Cross multiply
    1,976.60x = 2,728.01 × 1,506.06
  4. Step 4: Simplify right side
    1,976.60x = 4,108,550.51
  5. Step 5: Solve for x
    x = 4,108,550.51/1,976.60
  6. Step 6: Final answer
    x = 2,078.59

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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.