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Finding the Fourth Proportional to 4,659.78, 6,430.44 and 2,563.86

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Solution

The fourth proportional to 4,659.78, 6,430.44 and 2,563.86 is: 3,538.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.78 : 6,430.44 = 2,563.86 : x
  2. Step 2: Convert to fraction form
    4,659.78/6,430.44 = 2,563.86/x
  3. Step 3: Cross multiply
    4,659.78x = 6,430.44 × 2,563.86
  4. Step 4: Simplify right side
    4,659.78x = 16,486,747.90
  5. Step 5: Solve for x
    x = 16,486,747.90/4,659.78
  6. Step 6: Final answer
    x = 3,538.10

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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.