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Finding the Fourth Proportional to 1,698.60, 2,559.48 and 1,397.21

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Solution

The fourth proportional to 1,698.60, 2,559.48 and 1,397.21 is: 2,105.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.60 : 2,559.48 = 1,397.21 : x
  2. Step 2: Convert to fraction form
    1,698.60/2,559.48 = 1,397.21/x
  3. Step 3: Cross multiply
    1,698.60x = 2,559.48 × 1,397.21
  4. Step 4: Simplify right side
    1,698.60x = 3,576,131.05
  5. Step 5: Solve for x
    x = 3,576,131.05/1,698.60
  6. Step 6: Final answer
    x = 2,105.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.