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Finding the Fourth Proportional to 3,365, 4,643.70 and 1,893

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Solution

The fourth proportional to 3,365, 4,643.70 and 1,893 is: 2,612.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,365 : 4,643.70 = 1,893 : x
  2. Step 2: Convert to fraction form
    3,365/4,643.70 = 1,893/x
  3. Step 3: Cross multiply
    3,365x = 4,643.70 × 1,893
  4. Step 4: Simplify right side
    3,365x = 8,790,524.10
  5. Step 5: Solve for x
    x = 8,790,524.10/3,365
  6. Step 6: Final answer
    x = 2,612.34

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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.