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Finding the Fourth Proportional to 6,438.02, 9,657.02 and 1,821.02

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Solution

The fourth proportional to 6,438.02, 9,657.02 and 1,821.02 is: 2,731.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.02 : 9,657.02 = 1,821.02 : x
  2. Step 2: Convert to fraction form
    6,438.02/9,657.02 = 1,821.02/x
  3. Step 3: Cross multiply
    6,438.02x = 9,657.02 × 1,821.02
  4. Step 4: Simplify right side
    6,438.02x = 17,585,626.56
  5. Step 5: Solve for x
    x = 17,585,626.56/6,438.02
  6. Step 6: Final answer
    x = 2,731.53

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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.