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Finding the Fourth Proportional to 2,176.10, 3,003.04 and 1,181.38

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Solution

The fourth proportional to 2,176.10, 3,003.04 and 1,181.38 is: 1,630.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176.10 : 3,003.04 = 1,181.38 : x
  2. Step 2: Convert to fraction form
    2,176.10/3,003.04 = 1,181.38/x
  3. Step 3: Cross multiply
    2,176.10x = 3,003.04 × 1,181.38
  4. Step 4: Simplify right side
    2,176.10x = 3,547,731.40
  5. Step 5: Solve for x
    x = 3,547,731.40/2,176.10
  6. Step 6: Final answer
    x = 1,630.32

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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.