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Finding the Fourth Proportional to 9,740, 13,441.20 and 5,324

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Solution

The fourth proportional to 9,740, 13,441.20 and 5,324 is: 7,347.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,740 : 13,441.20 = 5,324 : x
  2. Step 2: Convert to fraction form
    9,740/13,441.20 = 5,324/x
  3. Step 3: Cross multiply
    9,740x = 13,441.20 × 5,324
  4. Step 4: Simplify right side
    9,740x = 71,560,948.80
  5. Step 5: Solve for x
    x = 71,560,948.80/9,740
  6. Step 6: Final answer
    x = 7,347.12

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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.