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Finding the Fourth Proportional to 2,027.47, 3,041.51 and 857.47

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Solution

The fourth proportional to 2,027.47, 3,041.51 and 857.47 is: 1,286.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.47 : 3,041.51 = 857.47 : x
  2. Step 2: Convert to fraction form
    2,027.47/3,041.51 = 857.47/x
  3. Step 3: Cross multiply
    2,027.47x = 3,041.51 × 857.47
  4. Step 4: Simplify right side
    2,027.47x = 2,608,009.53
  5. Step 5: Solve for x
    x = 2,608,009.53/2,027.47
  6. Step 6: Final answer
    x = 1,286.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.