Home / 1,633.72-2,257.68-1,214.68

Finding the Fourth Proportional to 1,633.72, 2,257.68 and 1,214.68

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Solution

The fourth proportional to 1,633.72, 2,257.68 and 1,214.68 is: 1,678.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.72 : 2,257.68 = 1,214.68 : x
  2. Step 2: Convert to fraction form
    1,633.72/2,257.68 = 1,214.68/x
  3. Step 3: Cross multiply
    1,633.72x = 2,257.68 × 1,214.68
  4. Step 4: Simplify right side
    1,633.72x = 2,742,358.74
  5. Step 5: Solve for x
    x = 2,742,358.74/1,633.72
  6. Step 6: Final answer
    x = 1,678.60

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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.