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Finding the Fourth Proportional to 19,775.20, 29,662.80 and 19,429.60

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Solution

The fourth proportional to 19,775.20, 29,662.80 and 19,429.60 is: 29,144.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,775.20 : 29,662.80 = 19,429.60 : x
  2. Step 2: Convert to fraction form
    19,775.20/29,662.80 = 19,429.60/x
  3. Step 3: Cross multiply
    19,775.20x = 29,662.80 × 19,429.60
  4. Step 4: Simplify right side
    19,775.20x = 576,336,338.88
  5. Step 5: Solve for x
    x = 576,336,338.88/19,775.20
  6. Step 6: Final answer
    x = 29,144.40

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1.5x scale

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.