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Finding the Fourth Proportional to 3,893.64, 5,373.30 and 2,402.28

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Solution

The fourth proportional to 3,893.64, 5,373.30 and 2,402.28 is: 3,315.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.64 : 5,373.30 = 2,402.28 : x
  2. Step 2: Convert to fraction form
    3,893.64/5,373.30 = 2,402.28/x
  3. Step 3: Cross multiply
    3,893.64x = 5,373.30 × 2,402.28
  4. Step 4: Simplify right side
    3,893.64x = 12,908,171.12
  5. Step 5: Solve for x
    x = 12,908,171.12/3,893.64
  6. Step 6: Final answer
    x = 3,315.19

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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.