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Finding the Fourth Proportional to 1,627.92, 2,235.69 and 1,365.48

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Solution

The fourth proportional to 1,627.92, 2,235.69 and 1,365.48 is: 1,875.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.92 : 2,235.69 = 1,365.48 : x
  2. Step 2: Convert to fraction form
    1,627.92/2,235.69 = 1,365.48/x
  3. Step 3: Cross multiply
    1,627.92x = 2,235.69 × 1,365.48
  4. Step 4: Simplify right side
    1,627.92x = 3,052,789.98
  5. Step 5: Solve for x
    x = 3,052,789.98/1,627.92
  6. Step 6: Final answer
    x = 1,875.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.