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Finding the Fourth Proportional to 1,654.10, 2,481.16 and 421.51

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Solution

The fourth proportional to 1,654.10, 2,481.16 and 421.51 is: 632.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.10 : 2,481.16 = 421.51 : x
  2. Step 2: Convert to fraction form
    1,654.10/2,481.16 = 421.51/x
  3. Step 3: Cross multiply
    1,654.10x = 2,481.16 × 421.51
  4. Step 4: Simplify right side
    1,654.10x = 1,045,819.24
  5. Step 5: Solve for x
    x = 1,045,819.24/1,654.10
  6. Step 6: Final answer
    x = 632.26

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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.