Home / 1,282.33-1,771.50-1,097.74

Finding the Fourth Proportional to 1,282.33, 1,771.50 and 1,097.74

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Solution

The fourth proportional to 1,282.33, 1,771.50 and 1,097.74 is: 1,516.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.33 : 1,771.50 = 1,097.74 : x
  2. Step 2: Convert to fraction form
    1,282.33/1,771.50 = 1,097.74/x
  3. Step 3: Cross multiply
    1,282.33x = 1,771.50 × 1,097.74
  4. Step 4: Simplify right side
    1,282.33x = 1,944,646.41
  5. Step 5: Solve for x
    x = 1,944,646.41/1,282.33
  6. Step 6: Final answer
    x = 1,516.49

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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.