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Finding the Fourth Proportional to 3,505.28, 4,837.22 and 1,911.93

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Solution

The fourth proportional to 3,505.28, 4,837.22 and 1,911.93 is: 2,638.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505.28 : 4,837.22 = 1,911.93 : x
  2. Step 2: Convert to fraction form
    3,505.28/4,837.22 = 1,911.93/x
  3. Step 3: Cross multiply
    3,505.28x = 4,837.22 × 1,911.93
  4. Step 4: Simplify right side
    3,505.28x = 9,248,423.64
  5. Step 5: Solve for x
    x = 9,248,423.64/3,505.28
  6. Step 6: Final answer
    x = 2,638.43

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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.