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Finding the Fourth Proportional to 13,200, 19,775.28 and 6,618.48

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Solution

The fourth proportional to 13,200, 19,775.28 and 6,618.48 is: 9,915.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,200 : 19,775.28 = 6,618.48 : x
  2. Step 2: Convert to fraction form
    13,200/19,775.28 = 6,618.48/x
  3. Step 3: Cross multiply
    13,200x = 19,775.28 × 6,618.48
  4. Step 4: Simplify right side
    13,200x = 130,882,295.17
  5. Step 5: Solve for x
    x = 130,882,295.17/13,200
  6. Step 6: Final answer
    x = 9,915.33

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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.