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Finding the Fourth Proportional to 2,642.51, 3,643.22 and 2,273.46

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Solution

The fourth proportional to 2,642.51, 3,643.22 and 2,273.46 is: 3,134.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.51 : 3,643.22 = 2,273.46 : x
  2. Step 2: Convert to fraction form
    2,642.51/3,643.22 = 2,273.46/x
  3. Step 3: Cross multiply
    2,642.51x = 3,643.22 × 2,273.46
  4. Step 4: Simplify right side
    2,642.51x = 8,282,703.57
  5. Step 5: Solve for x
    x = 8,282,703.57/2,642.51
  6. Step 6: Final answer
    x = 3,134.40

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Half scale
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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.