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Finding the Fourth Proportional to 1,797.90, 2,478.60 and 1,398.31

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Solution

The fourth proportional to 1,797.90, 2,478.60 and 1,398.31 is: 1,927.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,797.90 : 2,478.60 = 1,398.31 : x
  2. Step 2: Convert to fraction form
    1,797.90/2,478.60 = 1,398.31/x
  3. Step 3: Cross multiply
    1,797.90x = 2,478.60 × 1,398.31
  4. Step 4: Simplify right side
    1,797.90x = 3,465,858.91
  5. Step 5: Solve for x
    x = 3,465,858.91/1,797.90
  6. Step 6: Final answer
    x = 1,927.73

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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.