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Finding the Fourth Proportional to 6,429, 9,641.00 and 2,731.38

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Solution

The fourth proportional to 6,429, 9,641.00 and 2,731.38 is: 4,096.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429 : 9,641.00 = 2,731.38 : x
  2. Step 2: Convert to fraction form
    6,429/9,641.00 = 2,731.38/x
  3. Step 3: Cross multiply
    6,429x = 9,641.00 × 2,731.38
  4. Step 4: Simplify right side
    6,429x = 26,333,220.92
  5. Step 5: Solve for x
    x = 26,333,220.92/6,429
  6. Step 6: Final answer
    x = 4,096.01

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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.