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Finding the Fourth Proportional to 13,099.20, 19,644 and 7,180.32

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Solution

The fourth proportional to 13,099.20, 19,644 and 7,180.32 is: 10,767.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,099.20 : 19,644 = 7,180.32 : x
  2. Step 2: Convert to fraction form
    13,099.20/19,644 = 7,180.32/x
  3. Step 3: Cross multiply
    13,099.20x = 19,644 × 7,180.32
  4. Step 4: Simplify right side
    13,099.20x = 141,050,206.08
  5. Step 5: Solve for x
    x = 141,050,206.08/13,099.20
  6. Step 6: Final answer
    x = 10,767.85

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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.