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Finding the Fourth Proportional to 5,291.68, 7,938.24 and 1,828

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Solution

The fourth proportional to 5,291.68, 7,938.24 and 1,828 is: 2,742.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,291.68 : 7,938.24 = 1,828 : x
  2. Step 2: Convert to fraction form
    5,291.68/7,938.24 = 1,828/x
  3. Step 3: Cross multiply
    5,291.68x = 7,938.24 × 1,828
  4. Step 4: Simplify right side
    5,291.68x = 14,511,102.72
  5. Step 5: Solve for x
    x = 14,511,102.72/5,291.68
  6. Step 6: Final answer
    x = 2,742.25

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Why These Related Problems?

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