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Finding the Fourth Proportional to 2,901, 4,351.44 and 820.98

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Solution

The fourth proportional to 2,901, 4,351.44 and 820.98 is: 1,231.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,901 : 4,351.44 = 820.98 : x
  2. Step 2: Convert to fraction form
    2,901/4,351.44 = 820.98/x
  3. Step 3: Cross multiply
    2,901x = 4,351.44 × 820.98
  4. Step 4: Simplify right side
    2,901x = 3,572,445.21
  5. Step 5: Solve for x
    x = 3,572,445.21/2,901
  6. Step 6: Final answer
    x = 1,231.45

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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.