Home / 1,649.87-2,277.26-942.09

Finding the Fourth Proportional to 1,649.87, 2,277.26 and 942.09

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Solution

The fourth proportional to 1,649.87, 2,277.26 and 942.09 is: 1,300.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.87 : 2,277.26 = 942.09 : x
  2. Step 2: Convert to fraction form
    1,649.87/2,277.26 = 942.09/x
  3. Step 3: Cross multiply
    1,649.87x = 2,277.26 × 942.09
  4. Step 4: Simplify right side
    1,649.87x = 2,145,379.16
  5. Step 5: Solve for x
    x = 2,145,379.16/1,649.87
  6. Step 6: Final answer
    x = 1,300.34

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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.