Home / 1,723.76-2,378.38-1,165.26

Finding the Fourth Proportional to 1,723.76, 2,378.38 and 1,165.26

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Solution

The fourth proportional to 1,723.76, 2,378.38 and 1,165.26 is: 1,607.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.76 : 2,378.38 = 1,165.26 : x
  2. Step 2: Convert to fraction form
    1,723.76/2,378.38 = 1,165.26/x
  3. Step 3: Cross multiply
    1,723.76x = 2,378.38 × 1,165.26
  4. Step 4: Simplify right side
    1,723.76x = 2,771,431.08
  5. Step 5: Solve for x
    x = 2,771,431.08/1,723.76
  6. Step 6: Final answer
    x = 1,607.78

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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.