Home / 1,461.12-2,191.71-421.22

Finding the Fourth Proportional to 1,461.12, 2,191.71 and 421.22

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Solution

The fourth proportional to 1,461.12, 2,191.71 and 421.22 is: 631.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.12 : 2,191.71 = 421.22 : x
  2. Step 2: Convert to fraction form
    1,461.12/2,191.71 = 421.22/x
  3. Step 3: Cross multiply
    1,461.12x = 2,191.71 × 421.22
  4. Step 4: Simplify right side
    1,461.12x = 923,181.13
  5. Step 5: Solve for x
    x = 923,181.13/1,461.12
  6. Step 6: Final answer
    x = 631.83

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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.