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Finding the Fourth Proportional to 1,867.51, 2,571.51 and 1,691.74

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Solution

The fourth proportional to 1,867.51, 2,571.51 and 1,691.74 is: 2,329.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,867.51 : 2,571.51 = 1,691.74 : x
  2. Step 2: Convert to fraction form
    1,867.51/2,571.51 = 1,691.74/x
  3. Step 3: Cross multiply
    1,867.51x = 2,571.51 × 1,691.74
  4. Step 4: Simplify right side
    1,867.51x = 4,350,326.33
  5. Step 5: Solve for x
    x = 4,350,326.33/1,867.51
  6. Step 6: Final answer
    x = 2,329.48

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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.