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Finding the Fourth Proportional to 4,489.76, 6,734.88 and 1,369.88

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Solution

The fourth proportional to 4,489.76, 6,734.88 and 1,369.88 is: 2,054.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,489.76 : 6,734.88 = 1,369.88 : x
  2. Step 2: Convert to fraction form
    4,489.76/6,734.88 = 1,369.88/x
  3. Step 3: Cross multiply
    4,489.76x = 6,734.88 × 1,369.88
  4. Step 4: Simplify right side
    4,489.76x = 9,225,977.41
  5. Step 5: Solve for x
    x = 9,225,977.41/4,489.76
  6. Step 6: Final answer
    x = 2,054.89

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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.