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Finding the Fourth Proportional to 7,764, 10,709.76 and 4,620

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Solution

The fourth proportional to 7,764, 10,709.76 and 4,620 is: 6,372.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,764 : 10,709.76 = 4,620 : x
  2. Step 2: Convert to fraction form
    7,764/10,709.76 = 4,620/x
  3. Step 3: Cross multiply
    7,764x = 10,709.76 × 4,620
  4. Step 4: Simplify right side
    7,764x = 49,479,091.20
  5. Step 5: Solve for x
    x = 49,479,091.20/7,764
  6. Step 6: Final answer
    x = 6,372.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.