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Finding the Fourth Proportional to 3,430.77, 4,723.01 and 3,274.05

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Solution

The fourth proportional to 3,430.77, 4,723.01 and 3,274.05 is: 4,507.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.77 : 4,723.01 = 3,274.05 : x
  2. Step 2: Convert to fraction form
    3,430.77/4,723.01 = 3,274.05/x
  3. Step 3: Cross multiply
    3,430.77x = 4,723.01 × 3,274.05
  4. Step 4: Simplify right side
    3,430.77x = 15,463,370.89
  5. Step 5: Solve for x
    x = 15,463,370.89/3,430.77
  6. Step 6: Final answer
    x = 4,507.26

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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.