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Finding the Fourth Proportional to 4,218, 5,820.84 and 2,355

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Solution

The fourth proportional to 4,218, 5,820.84 and 2,355 is: 3,249.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,218 : 5,820.84 = 2,355 : x
  2. Step 2: Convert to fraction form
    4,218/5,820.84 = 2,355/x
  3. Step 3: Cross multiply
    4,218x = 5,820.84 × 2,355
  4. Step 4: Simplify right side
    4,218x = 13,708,078.20
  5. Step 5: Solve for x
    x = 13,708,078.20/4,218
  6. Step 6: Final answer
    x = 3,249.90

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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.