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Finding the Fourth Proportional to 30,205.60, 41,686.80 and 17,629.60

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Solution

The fourth proportional to 30,205.60, 41,686.80 and 17,629.60 is: 24,330.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,205.60 : 41,686.80 = 17,629.60 : x
  2. Step 2: Convert to fraction form
    30,205.60/41,686.80 = 17,629.60/x
  3. Step 3: Cross multiply
    30,205.60x = 41,686.80 × 17,629.60
  4. Step 4: Simplify right side
    30,205.60x = 734,921,609.28
  5. Step 5: Solve for x
    x = 734,921,609.28/30,205.60
  6. Step 6: Final answer
    x = 24,330.64

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1.5x scale

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.