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Finding the Fourth Proportional to 1,645.63, 2,271.18 and 937.50

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Solution

The fourth proportional to 1,645.63, 2,271.18 and 937.50 is: 1,293.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.63 : 2,271.18 = 937.50 : x
  2. Step 2: Convert to fraction form
    1,645.63/2,271.18 = 937.50/x
  3. Step 3: Cross multiply
    1,645.63x = 2,271.18 × 937.50
  4. Step 4: Simplify right side
    1,645.63x = 2,129,231.25
  5. Step 5: Solve for x
    x = 2,129,231.25/1,645.63
  6. Step 6: Final answer
    x = 1,293.87

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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.