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Finding the Fourth Proportional to 4,969.85, 7,454.75 and 1,685.25

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Solution

The fourth proportional to 4,969.85, 7,454.75 and 1,685.25 is: 2,527.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.85 : 7,454.75 = 1,685.25 : x
  2. Step 2: Convert to fraction form
    4,969.85/7,454.75 = 1,685.25/x
  3. Step 3: Cross multiply
    4,969.85x = 7,454.75 × 1,685.25
  4. Step 4: Simplify right side
    4,969.85x = 12,563,109.01
  5. Step 5: Solve for x
    x = 12,563,109.01/4,969.85
  6. Step 6: Final answer
    x = 2,527.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.