Home / 1,461.46-2,191.87-421.23

Finding the Fourth Proportional to 1,461.46, 2,191.87 and 421.23

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Solution

The fourth proportional to 1,461.46, 2,191.87 and 421.23 is: 631.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.46 : 2,191.87 = 421.23 : x
  2. Step 2: Convert to fraction form
    1,461.46/2,191.87 = 421.23/x
  3. Step 3: Cross multiply
    1,461.46x = 2,191.87 × 421.23
  4. Step 4: Simplify right side
    1,461.46x = 923,279.29
  5. Step 5: Solve for x
    x = 923,279.29/1,461.46
  6. Step 6: Final answer
    x = 631.75

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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.