Home / 1,313.24-1,967.40-1,178

Finding the Fourth Proportional to 1,313.24, 1,967.40 and 1,178

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Solution

The fourth proportional to 1,313.24, 1,967.40 and 1,178 is: 1,764.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.24 : 1,967.40 = 1,178 : x
  2. Step 2: Convert to fraction form
    1,313.24/1,967.40 = 1,178/x
  3. Step 3: Cross multiply
    1,313.24x = 1,967.40 × 1,178
  4. Step 4: Simplify right side
    1,313.24x = 2,317,597.20
  5. Step 5: Solve for x
    x = 2,317,597.20/1,313.24
  6. Step 6: Final answer
    x = 1,764.79

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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.