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Finding the Fourth Proportional to 7,675.80, 11,522.90 and 5,203.11

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Solution

The fourth proportional to 7,675.80, 11,522.90 and 5,203.11 is: 7,810.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,675.80 : 11,522.90 = 5,203.11 : x
  2. Step 2: Convert to fraction form
    7,675.80/11,522.90 = 5,203.11/x
  3. Step 3: Cross multiply
    7,675.80x = 11,522.90 × 5,203.11
  4. Step 4: Simplify right side
    7,675.80x = 59,954,916.22
  5. Step 5: Solve for x
    x = 59,954,916.22/7,675.80
  6. Step 6: Final answer
    x = 7,810.90

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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.