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Finding the Fourth Proportional to 5,167.16, 7,750.73 and 1,418.96

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Solution

The fourth proportional to 5,167.16, 7,750.73 and 1,418.96 is: 2,128.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,167.16 : 7,750.73 = 1,418.96 : x
  2. Step 2: Convert to fraction form
    5,167.16/7,750.73 = 1,418.96/x
  3. Step 3: Cross multiply
    5,167.16x = 7,750.73 × 1,418.96
  4. Step 4: Simplify right side
    5,167.16x = 10,997,929.99
  5. Step 5: Solve for x
    x = 10,997,929.99/5,167.16
  6. Step 6: Final answer
    x = 2,128.43

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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.