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Finding the Fourth Proportional to 1,627.51, 2,246.11 and 919.49

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Solution

The fourth proportional to 1,627.51, 2,246.11 and 919.49 is: 1,268.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.51 : 2,246.11 = 919.49 : x
  2. Step 2: Convert to fraction form
    1,627.51/2,246.11 = 919.49/x
  3. Step 3: Cross multiply
    1,627.51x = 2,246.11 × 919.49
  4. Step 4: Simplify right side
    1,627.51x = 2,065,261.83
  5. Step 5: Solve for x
    x = 2,065,261.83/1,627.51
  6. Step 6: Final answer
    x = 1,268.97

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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.