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Finding the Fourth Proportional to 3,421.66, 4,721.86 and 1,930.06

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Solution

The fourth proportional to 3,421.66, 4,721.86 and 1,930.06 is: 2,663.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,421.66 : 4,721.86 = 1,930.06 : x
  2. Step 2: Convert to fraction form
    3,421.66/4,721.86 = 1,930.06/x
  3. Step 3: Cross multiply
    3,421.66x = 4,721.86 × 1,930.06
  4. Step 4: Simplify right side
    3,421.66x = 9,113,473.11
  5. Step 5: Solve for x
    x = 9,113,473.11/3,421.66
  6. Step 6: Final answer
    x = 2,663.47

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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.