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Finding the Fourth Proportional to 2,703.21, 4,054.82 and 651.21

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Solution

The fourth proportional to 2,703.21, 4,054.82 and 651.21 is: 976.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.21 : 4,054.82 = 651.21 : x
  2. Step 2: Convert to fraction form
    2,703.21/4,054.82 = 651.21/x
  3. Step 3: Cross multiply
    2,703.21x = 4,054.82 × 651.21
  4. Step 4: Simplify right side
    2,703.21x = 2,640,536.08
  5. Step 5: Solve for x
    x = 2,640,536.08/2,703.21
  6. Step 6: Final answer
    x = 976.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.