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Finding the Fourth Proportional to 7,808, 10,776.32 and 4,497.92

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Solution

The fourth proportional to 7,808, 10,776.32 and 4,497.92 is: 6,207.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808 : 10,776.32 = 4,497.92 : x
  2. Step 2: Convert to fraction form
    7,808/10,776.32 = 4,497.92/x
  3. Step 3: Cross multiply
    7,808x = 10,776.32 × 4,497.92
  4. Step 4: Simplify right side
    7,808x = 48,471,025.25
  5. Step 5: Solve for x
    x = 48,471,025.25/7,808
  6. Step 6: Final answer
    x = 6,207.87

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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.