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Finding the Fourth Proportional to 2,820.88, 3,893.43 and 1,702

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Solution

The fourth proportional to 2,820.88, 3,893.43 and 1,702 is: 2,349.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820.88 : 3,893.43 = 1,702 : x
  2. Step 2: Convert to fraction form
    2,820.88/3,893.43 = 1,702/x
  3. Step 3: Cross multiply
    2,820.88x = 3,893.43 × 1,702
  4. Step 4: Simplify right side
    2,820.88x = 6,626,617.86
  5. Step 5: Solve for x
    x = 6,626,617.86/2,820.88
  6. Step 6: Final answer
    x = 2,349.13

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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.