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Finding the Fourth Proportional to 4,900.80, 7,352.50 and 2,402.12

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Solution

The fourth proportional to 4,900.80, 7,352.50 and 2,402.12 is: 3,603.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,900.80 : 7,352.50 = 2,402.12 : x
  2. Step 2: Convert to fraction form
    4,900.80/7,352.50 = 2,402.12/x
  3. Step 3: Cross multiply
    4,900.80x = 7,352.50 × 2,402.12
  4. Step 4: Simplify right side
    4,900.80x = 17,661,587.30
  5. Step 5: Solve for x
    x = 17,661,587.30/4,900.80
  6. Step 6: Final answer
    x = 3,603.82

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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.