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Finding the Fourth Proportional to 3,421.92, 4,722.18 and 1,929.96

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Solution

The fourth proportional to 3,421.92, 4,722.18 and 1,929.96 is: 2,663.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,421.92 : 4,722.18 = 1,929.96 : x
  2. Step 2: Convert to fraction form
    3,421.92/4,722.18 = 1,929.96/x
  3. Step 3: Cross multiply
    3,421.92x = 4,722.18 × 1,929.96
  4. Step 4: Simplify right side
    3,421.92x = 9,113,618.51
  5. Step 5: Solve for x
    x = 9,113,618.51/3,421.92
  6. Step 6: Final answer
    x = 2,663.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.