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Finding the Fourth Proportional to 7,808.38, 10,775.78 and 4,666.39

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Solution

The fourth proportional to 7,808.38, 10,775.78 and 4,666.39 is: 6,439.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.38 : 10,775.78 = 4,666.39 : x
  2. Step 2: Convert to fraction form
    7,808.38/10,775.78 = 4,666.39/x
  3. Step 3: Cross multiply
    7,808.38x = 10,775.78 × 4,666.39
  4. Step 4: Simplify right side
    7,808.38x = 50,283,992.03
  5. Step 5: Solve for x
    x = 50,283,992.03/7,808.38
  6. Step 6: Final answer
    x = 6,439.75

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Half scale
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1.5x scale

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.