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Finding the Fourth Proportional to 5,309, 7,325.76 and 2,950.84

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Solution

The fourth proportional to 5,309, 7,325.76 and 2,950.84 is: 4,071.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309 : 7,325.76 = 2,950.84 : x
  2. Step 2: Convert to fraction form
    5,309/7,325.76 = 2,950.84/x
  3. Step 3: Cross multiply
    5,309x = 7,325.76 × 2,950.84
  4. Step 4: Simplify right side
    5,309x = 21,617,145.64
  5. Step 5: Solve for x
    x = 21,617,145.64/5,309
  6. Step 6: Final answer
    x = 4,071.79

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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.