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Finding the Fourth Proportional to 2,702, 4,048.32 and 1,776.48

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Solution

The fourth proportional to 2,702, 4,048.32 and 1,776.48 is: 2,661.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702 : 4,048.32 = 1,776.48 : x
  2. Step 2: Convert to fraction form
    2,702/4,048.32 = 1,776.48/x
  3. Step 3: Cross multiply
    2,702x = 4,048.32 × 1,776.48
  4. Step 4: Simplify right side
    2,702x = 7,191,759.51
  5. Step 5: Solve for x
    x = 7,191,759.51/2,702
  6. Step 6: Final answer
    x = 2,661.64

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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.