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Finding the Fourth Proportional to 2,067.51, 3,101.20 and 507.52

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Solution

The fourth proportional to 2,067.51, 3,101.20 and 507.52 is: 761.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.51 : 3,101.20 = 507.52 : x
  2. Step 2: Convert to fraction form
    2,067.51/3,101.20 = 507.52/x
  3. Step 3: Cross multiply
    2,067.51x = 3,101.20 × 507.52
  4. Step 4: Simplify right side
    2,067.51x = 1,573,921.02
  5. Step 5: Solve for x
    x = 1,573,921.02/2,067.51
  6. Step 6: Final answer
    x = 761.26

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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.