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Finding the Fourth Proportional to 4,769.76, 7,155.67 and 1,958.60

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Solution

The fourth proportional to 4,769.76, 7,155.67 and 1,958.60 is: 2,938.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,769.76 : 7,155.67 = 1,958.60 : x
  2. Step 2: Convert to fraction form
    4,769.76/7,155.67 = 1,958.60/x
  3. Step 3: Cross multiply
    4,769.76x = 7,155.67 × 1,958.60
  4. Step 4: Simplify right side
    4,769.76x = 14,015,095.26
  5. Step 5: Solve for x
    x = 14,015,095.26/4,769.76
  6. Step 6: Final answer
    x = 2,938.32

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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.