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Finding the Fourth Proportional to 9,646, 13,311.56 and 5,230

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Solution

The fourth proportional to 9,646, 13,311.56 and 5,230 is: 7,217.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646 : 13,311.56 = 5,230 : x
  2. Step 2: Convert to fraction form
    9,646/13,311.56 = 5,230/x
  3. Step 3: Cross multiply
    9,646x = 13,311.56 × 5,230
  4. Step 4: Simplify right side
    9,646x = 69,619,458.80
  5. Step 5: Solve for x
    x = 69,619,458.80/9,646
  6. Step 6: Final answer
    x = 7,217.44

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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.