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Finding the Fourth Proportional to 6,428.96, 9,638.90 and 2,476.89

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Solution

The fourth proportional to 6,428.96, 9,638.90 and 2,476.89 is: 3,713.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,428.96 : 9,638.90 = 2,476.89 : x
  2. Step 2: Convert to fraction form
    6,428.96/9,638.90 = 2,476.89/x
  3. Step 3: Cross multiply
    6,428.96x = 9,638.90 × 2,476.89
  4. Step 4: Simplify right side
    6,428.96x = 23,874,482.64
  5. Step 5: Solve for x
    x = 23,874,482.64/6,428.96
  6. Step 6: Final answer
    x = 3,713.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.