Home / 1,216.24-1,824.37-924.35

Finding the Fourth Proportional to 1,216.24, 1,824.37 and 924.35

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Solution

The fourth proportional to 1,216.24, 1,824.37 and 924.35 is: 1,386.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.24 : 1,824.37 = 924.35 : x
  2. Step 2: Convert to fraction form
    1,216.24/1,824.37 = 924.35/x
  3. Step 3: Cross multiply
    1,216.24x = 1,824.37 × 924.35
  4. Step 4: Simplify right side
    1,216.24x = 1,686,344.98
  5. Step 5: Solve for x
    x = 1,686,344.98/1,216.24
  6. Step 6: Final answer
    x = 1,386.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.