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Finding the Fourth Proportional to 7,763, 10,715.64 and 4,619.12

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Solution

The fourth proportional to 7,763, 10,715.64 and 4,619.12 is: 6,375.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763 : 10,715.64 = 4,619.12 : x
  2. Step 2: Convert to fraction form
    7,763/10,715.64 = 4,619.12/x
  3. Step 3: Cross multiply
    7,763x = 10,715.64 × 4,619.12
  4. Step 4: Simplify right side
    7,763x = 49,496,827.04
  5. Step 5: Solve for x
    x = 49,496,827.04/7,763
  6. Step 6: Final answer
    x = 6,375.99

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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.