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Finding the Fourth Proportional to 2,906.40, 4,359.59 and 826.42

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Solution

The fourth proportional to 2,906.40, 4,359.59 and 826.42 is: 1,239.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.40 : 4,359.59 = 826.42 : x
  2. Step 2: Convert to fraction form
    2,906.40/4,359.59 = 826.42/x
  3. Step 3: Cross multiply
    2,906.40x = 4,359.59 × 826.42
  4. Step 4: Simplify right side
    2,906.40x = 3,602,852.37
  5. Step 5: Solve for x
    x = 3,602,852.37/2,906.40
  6. Step 6: Final answer
    x = 1,239.63

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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.