Home / 1,218.08-1,823.88-1,097.12

Finding the Fourth Proportional to 1,218.08, 1,823.88 and 1,097.12

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Solution

The fourth proportional to 1,218.08, 1,823.88 and 1,097.12 is: 1,642.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.08 : 1,823.88 = 1,097.12 : x
  2. Step 2: Convert to fraction form
    1,218.08/1,823.88 = 1,097.12/x
  3. Step 3: Cross multiply
    1,218.08x = 1,823.88 × 1,097.12
  4. Step 4: Simplify right side
    1,218.08x = 2,001,015.23
  5. Step 5: Solve for x
    x = 2,001,015.23/1,218.08
  6. Step 6: Final answer
    x = 1,642.76

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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.