Home / 1,412.62-2,116.88-1,002.56

Finding the Fourth Proportional to 1,412.62, 2,116.88 and 1,002.56

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Solution

The fourth proportional to 1,412.62, 2,116.88 and 1,002.56 is: 1,502.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.62 : 2,116.88 = 1,002.56 : x
  2. Step 2: Convert to fraction form
    1,412.62/2,116.88 = 1,002.56/x
  3. Step 3: Cross multiply
    1,412.62x = 2,116.88 × 1,002.56
  4. Step 4: Simplify right side
    1,412.62x = 2,122,299.21
  5. Step 5: Solve for x
    x = 2,122,299.21/1,412.62
  6. Step 6: Final answer
    x = 1,502.39

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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.