Home / 1,216.52-1,811.74-1,142

Finding the Fourth Proportional to 1,216.52, 1,811.74 and 1,142

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Solution

The fourth proportional to 1,216.52, 1,811.74 and 1,142 is: 1,700.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.52 : 1,811.74 = 1,142 : x
  2. Step 2: Convert to fraction form
    1,216.52/1,811.74 = 1,142/x
  3. Step 3: Cross multiply
    1,216.52x = 1,811.74 × 1,142
  4. Step 4: Simplify right side
    1,216.52x = 2,069,007.08
  5. Step 5: Solve for x
    x = 2,069,007.08/1,216.52
  6. Step 6: Final answer
    x = 1,700.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.