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Finding the Fourth Proportional to 2,005.29, 2,772.09 and 1,986.66

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Solution

The fourth proportional to 2,005.29, 2,772.09 and 1,986.66 is: 2,746.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.29 : 2,772.09 = 1,986.66 : x
  2. Step 2: Convert to fraction form
    2,005.29/2,772.09 = 1,986.66/x
  3. Step 3: Cross multiply
    2,005.29x = 2,772.09 × 1,986.66
  4. Step 4: Simplify right side
    2,005.29x = 5,507,200.32
  5. Step 5: Solve for x
    x = 5,507,200.32/2,005.29
  6. Step 6: Final answer
    x = 2,746.34

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1.5x scale

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.