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Finding the Fourth Proportional to 1,679.97, 2,319.74 and 1,091.51

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Solution

The fourth proportional to 1,679.97, 2,319.74 and 1,091.51 is: 1,507.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679.97 : 2,319.74 = 1,091.51 : x
  2. Step 2: Convert to fraction form
    1,679.97/2,319.74 = 1,091.51/x
  3. Step 3: Cross multiply
    1,679.97x = 2,319.74 × 1,091.51
  4. Step 4: Simplify right side
    1,679.97x = 2,532,019.41
  5. Step 5: Solve for x
    x = 2,532,019.41/1,679.97
  6. Step 6: Final answer
    x = 1,507.18

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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.