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Finding the Fourth Proportional to 5,420.97, 8,131.74 and 1,723.49

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Solution

The fourth proportional to 5,420.97, 8,131.74 and 1,723.49 is: 2,585.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,420.97 : 8,131.74 = 1,723.49 : x
  2. Step 2: Convert to fraction form
    5,420.97/8,131.74 = 1,723.49/x
  3. Step 3: Cross multiply
    5,420.97x = 8,131.74 × 1,723.49
  4. Step 4: Simplify right side
    5,420.97x = 14,014,955.94
  5. Step 5: Solve for x
    x = 14,014,955.94/5,420.97
  6. Step 6: Final answer
    x = 2,585.32

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1.5x scale

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.