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Finding the Fourth Proportional to 3,465, 4,781.70 and 2,223

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Solution

The fourth proportional to 3,465, 4,781.70 and 2,223 is: 3,067.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465 : 4,781.70 = 2,223 : x
  2. Step 2: Convert to fraction form
    3,465/4,781.70 = 2,223/x
  3. Step 3: Cross multiply
    3,465x = 4,781.70 × 2,223
  4. Step 4: Simplify right side
    3,465x = 10,629,719.10
  5. Step 5: Solve for x
    x = 10,629,719.10/3,465
  6. Step 6: Final answer
    x = 3,067.74

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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.