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Finding the Fourth Proportional to 4,675.76, 7,019.76 and 3,289.74

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Solution

The fourth proportional to 4,675.76, 7,019.76 and 3,289.74 is: 4,938.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,675.76 : 7,019.76 = 3,289.74 : x
  2. Step 2: Convert to fraction form
    4,675.76/7,019.76 = 3,289.74/x
  3. Step 3: Cross multiply
    4,675.76x = 7,019.76 × 3,289.74
  4. Step 4: Simplify right side
    4,675.76x = 23,093,185.26
  5. Step 5: Solve for x
    x = 23,093,185.26/4,675.76
  6. Step 6: Final answer
    x = 4,938.92

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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.