Home / 1,433.74-1,965.68-1,407.82

Finding the Fourth Proportional to 1,433.74, 1,965.68 and 1,407.82

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Solution

The fourth proportional to 1,433.74, 1,965.68 and 1,407.82 is: 1,930.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.74 : 1,965.68 = 1,407.82 : x
  2. Step 2: Convert to fraction form
    1,433.74/1,965.68 = 1,407.82/x
  3. Step 3: Cross multiply
    1,433.74x = 1,965.68 × 1,407.82
  4. Step 4: Simplify right side
    1,433.74x = 2,767,323.62
  5. Step 5: Solve for x
    x = 2,767,323.62/1,433.74
  6. Step 6: Final answer
    x = 1,930.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.