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Finding the Fourth Proportional to 3,097.66, 4,648.42 and 1,929.96

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Solution

The fourth proportional to 3,097.66, 4,648.42 and 1,929.96 is: 2,896.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.66 : 4,648.42 = 1,929.96 : x
  2. Step 2: Convert to fraction form
    3,097.66/4,648.42 = 1,929.96/x
  3. Step 3: Cross multiply
    3,097.66x = 4,648.42 × 1,929.96
  4. Step 4: Simplify right side
    3,097.66x = 8,971,264.66
  5. Step 5: Solve for x
    x = 8,971,264.66/3,097.66
  6. Step 6: Final answer
    x = 2,896.14

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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.