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Finding the Fourth Proportional to 4,839, 7,259.58 and 1,761

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Solution

The fourth proportional to 4,839, 7,259.58 and 1,761 is: 2,641.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,839 : 7,259.58 = 1,761 : x
  2. Step 2: Convert to fraction form
    4,839/7,259.58 = 1,761/x
  3. Step 3: Cross multiply
    4,839x = 7,259.58 × 1,761
  4. Step 4: Simplify right side
    4,839x = 12,784,120.38
  5. Step 5: Solve for x
    x = 12,784,120.38/4,839
  6. Step 6: Final answer
    x = 2,641.89

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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.