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Finding the Fourth Proportional to 1,919.53, 2,649.21 and 1,133.63

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Solution

The fourth proportional to 1,919.53, 2,649.21 and 1,133.63 is: 1,564.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919.53 : 2,649.21 = 1,133.63 : x
  2. Step 2: Convert to fraction form
    1,919.53/2,649.21 = 1,133.63/x
  3. Step 3: Cross multiply
    1,919.53x = 2,649.21 × 1,133.63
  4. Step 4: Simplify right side
    1,919.53x = 3,003,216.37
  5. Step 5: Solve for x
    x = 3,003,216.37/1,919.53
  6. Step 6: Final answer
    x = 1,564.56

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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.