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Finding the Fourth Proportional to 6,419.70, 9,622.35 and 2,721.30

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Solution

The fourth proportional to 6,419.70, 9,622.35 and 2,721.30 is: 4,078.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.70 : 9,622.35 = 2,721.30 : x
  2. Step 2: Convert to fraction form
    6,419.70/9,622.35 = 2,721.30/x
  3. Step 3: Cross multiply
    6,419.70x = 9,622.35 × 2,721.30
  4. Step 4: Simplify right side
    6,419.70x = 26,185,301.06
  5. Step 5: Solve for x
    x = 26,185,301.06/6,419.70
  6. Step 6: Final answer
    x = 4,078.90

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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.