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Finding the Fourth Proportional to 3,407.72, 4,703.48 and 2,165

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Solution

The fourth proportional to 3,407.72, 4,703.48 and 2,165 is: 2,988.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.72 : 4,703.48 = 2,165 : x
  2. Step 2: Convert to fraction form
    3,407.72/4,703.48 = 2,165/x
  3. Step 3: Cross multiply
    3,407.72x = 4,703.48 × 2,165
  4. Step 4: Simplify right side
    3,407.72x = 10,183,034.20
  5. Step 5: Solve for x
    x = 10,183,034.20/3,407.72
  6. Step 6: Final answer
    x = 2,988.23

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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.