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Finding the Fourth Proportional to 6,394.50, 8,828.45 and 4,899.64

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Solution

The fourth proportional to 6,394.50, 8,828.45 and 4,899.64 is: 6,764.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,394.50 : 8,828.45 = 4,899.64 : x
  2. Step 2: Convert to fraction form
    6,394.50/8,828.45 = 4,899.64/x
  3. Step 3: Cross multiply
    6,394.50x = 8,828.45 × 4,899.64
  4. Step 4: Simplify right side
    6,394.50x = 43,256,226.76
  5. Step 5: Solve for x
    x = 43,256,226.76/6,394.50
  6. Step 6: Final answer
    x = 6,764.60

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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.