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Finding the Fourth Proportional to 2,149.22, 2,965.56 and 1,309.64

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Solution

The fourth proportional to 2,149.22, 2,965.56 and 1,309.64 is: 1,807.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.22 : 2,965.56 = 1,309.64 : x
  2. Step 2: Convert to fraction form
    2,149.22/2,965.56 = 1,309.64/x
  3. Step 3: Cross multiply
    2,149.22x = 2,965.56 × 1,309.64
  4. Step 4: Simplify right side
    2,149.22x = 3,883,816.00
  5. Step 5: Solve for x
    x = 3,883,816.00/2,149.22
  6. Step 6: Final answer
    x = 1,807.08

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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.