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Finding the Fourth Proportional to 2,645.64, 3,650.40 and 1,983.06

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Solution

The fourth proportional to 2,645.64, 3,650.40 and 1,983.06 is: 2,736.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.64 : 3,650.40 = 1,983.06 : x
  2. Step 2: Convert to fraction form
    2,645.64/3,650.40 = 1,983.06/x
  3. Step 3: Cross multiply
    2,645.64x = 3,650.40 × 1,983.06
  4. Step 4: Simplify right side
    2,645.64x = 7,238,962.22
  5. Step 5: Solve for x
    x = 7,238,962.22/2,645.64
  6. Step 6: Final answer
    x = 2,736.19

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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.