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Finding the Fourth Proportional to 1,799.46, 2,686.46 and 1,539.54

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Solution

The fourth proportional to 1,799.46, 2,686.46 and 1,539.54 is: 2,298.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,799.46 : 2,686.46 = 1,539.54 : x
  2. Step 2: Convert to fraction form
    1,799.46/2,686.46 = 1,539.54/x
  3. Step 3: Cross multiply
    1,799.46x = 2,686.46 × 1,539.54
  4. Step 4: Simplify right side
    1,799.46x = 4,135,904.93
  5. Step 5: Solve for x
    x = 4,135,904.93/1,799.46
  6. Step 6: Final answer
    x = 2,298.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.