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Finding the Fourth Proportional to 2,546.56, 3,820.48 and 1,392

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Solution

The fourth proportional to 2,546.56, 3,820.48 and 1,392 is: 2,088.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.56 : 3,820.48 = 1,392 : x
  2. Step 2: Convert to fraction form
    2,546.56/3,820.48 = 1,392/x
  3. Step 3: Cross multiply
    2,546.56x = 3,820.48 × 1,392
  4. Step 4: Simplify right side
    2,546.56x = 5,318,108.16
  5. Step 5: Solve for x
    x = 5,318,108.16/2,546.56
  6. Step 6: Final answer
    x = 2,088.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.