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Finding the Fourth Proportional to 8,799, 13,201.74 and 4,638.84

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Solution

The fourth proportional to 8,799, 13,201.74 and 4,638.84 is: 6,959.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,799 : 13,201.74 = 4,638.84 : x
  2. Step 2: Convert to fraction form
    8,799/13,201.74 = 4,638.84/x
  3. Step 3: Cross multiply
    8,799x = 13,201.74 × 4,638.84
  4. Step 4: Simplify right side
    8,799x = 61,240,759.58
  5. Step 5: Solve for x
    x = 61,240,759.58/8,799
  6. Step 6: Final answer
    x = 6,959.97

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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.