Home / 1,421.16-2,131.84-496.62

Finding the Fourth Proportional to 1,421.16, 2,131.84 and 496.62

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Solution

The fourth proportional to 1,421.16, 2,131.84 and 496.62 is: 744.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.16 : 2,131.84 = 496.62 : x
  2. Step 2: Convert to fraction form
    1,421.16/2,131.84 = 496.62/x
  3. Step 3: Cross multiply
    1,421.16x = 2,131.84 × 496.62
  4. Step 4: Simplify right side
    1,421.16x = 1,058,714.38
  5. Step 5: Solve for x
    x = 1,058,714.38/1,421.16
  6. Step 6: Final answer
    x = 744.96

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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.