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Finding the Fourth Proportional to 5,165.10, 7,742.13 and 2,388.54

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Solution

The fourth proportional to 5,165.10, 7,742.13 and 2,388.54 is: 3,580.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.10 : 7,742.13 = 2,388.54 : x
  2. Step 2: Convert to fraction form
    5,165.10/7,742.13 = 2,388.54/x
  3. Step 3: Cross multiply
    5,165.10x = 7,742.13 × 2,388.54
  4. Step 4: Simplify right side
    5,165.10x = 18,492,387.19
  5. Step 5: Solve for x
    x = 18,492,387.19/5,165.10
  6. Step 6: Final answer
    x = 3,580.26

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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.