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Finding the Fourth Proportional to 4,852.80, 7,266.72 and 3,290.40

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Solution

The fourth proportional to 4,852.80, 7,266.72 and 3,290.40 is: 4,927.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,852.80 : 7,266.72 = 3,290.40 : x
  2. Step 2: Convert to fraction form
    4,852.80/7,266.72 = 3,290.40/x
  3. Step 3: Cross multiply
    4,852.80x = 7,266.72 × 3,290.40
  4. Step 4: Simplify right side
    4,852.80x = 23,910,415.49
  5. Step 5: Solve for x
    x = 23,910,415.49/4,852.80
  6. Step 6: Final answer
    x = 4,927.14

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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.