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Finding the Fourth Proportional to 5,431, 7,495.38 and 3,073.12

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Solution

The fourth proportional to 5,431, 7,495.38 and 3,073.12 is: 4,241.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,431 : 7,495.38 = 3,073.12 : x
  2. Step 2: Convert to fraction form
    5,431/7,495.38 = 3,073.12/x
  3. Step 3: Cross multiply
    5,431x = 7,495.38 × 3,073.12
  4. Step 4: Simplify right side
    5,431x = 23,034,202.19
  5. Step 5: Solve for x
    x = 23,034,202.19/5,431
  6. Step 6: Final answer
    x = 4,241.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.