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Finding the Fourth Proportional to 5,318.67, 7,978.14 and 1,808.67

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Solution

The fourth proportional to 5,318.67, 7,978.14 and 1,808.67 is: 2,713.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,318.67 : 7,978.14 = 1,808.67 : x
  2. Step 2: Convert to fraction form
    5,318.67/7,978.14 = 1,808.67/x
  3. Step 3: Cross multiply
    5,318.67x = 7,978.14 × 1,808.67
  4. Step 4: Simplify right side
    5,318.67x = 14,429,822.47
  5. Step 5: Solve for x
    x = 14,429,822.47/5,318.67
  6. Step 6: Final answer
    x = 2,713.05

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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.