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Finding the Fourth Proportional to 4,768.89, 7,150.53 and 1,956.89

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Solution

The fourth proportional to 4,768.89, 7,150.53 and 1,956.89 is: 2,934.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.89 : 7,150.53 = 1,956.89 : x
  2. Step 2: Convert to fraction form
    4,768.89/7,150.53 = 1,956.89/x
  3. Step 3: Cross multiply
    4,768.89x = 7,150.53 × 1,956.89
  4. Step 4: Simplify right side
    4,768.89x = 13,992,805.12
  5. Step 5: Solve for x
    x = 13,992,805.12/4,768.89
  6. Step 6: Final answer
    x = 2,934.18

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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.