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Finding the Fourth Proportional to 9,729.30, 13,424 and 5,479.50

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Solution

The fourth proportional to 9,729.30, 13,424 and 5,479.50 is: 7,560.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,729.30 : 13,424 = 5,479.50 : x
  2. Step 2: Convert to fraction form
    9,729.30/13,424 = 5,479.50/x
  3. Step 3: Cross multiply
    9,729.30x = 13,424 × 5,479.50
  4. Step 4: Simplify right side
    9,729.30x = 73,556,808
  5. Step 5: Solve for x
    x = 73,556,808/9,729.30
  6. Step 6: Final answer
    x = 7,560.34

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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.