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Finding the Fourth Proportional to 1,645.84, 2,271.26 and 937.65

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Solution

The fourth proportional to 1,645.84, 2,271.26 and 937.65 is: 1,293.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.84 : 2,271.26 = 937.65 : x
  2. Step 2: Convert to fraction form
    1,645.84/2,271.26 = 937.65/x
  3. Step 3: Cross multiply
    1,645.84x = 2,271.26 × 937.65
  4. Step 4: Simplify right side
    1,645.84x = 2,129,646.94
  5. Step 5: Solve for x
    x = 2,129,646.94/1,645.84
  6. Step 6: Final answer
    x = 1,293.96

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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.