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Finding the Fourth Proportional to 30,914.64, 42,668.48 and 18,346.64

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Solution

The fourth proportional to 30,914.64, 42,668.48 and 18,346.64 is: 25,322.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,914.64 : 42,668.48 = 18,346.64 : x
  2. Step 2: Convert to fraction form
    30,914.64/42,668.48 = 18,346.64/x
  3. Step 3: Cross multiply
    30,914.64x = 42,668.48 × 18,346.64
  4. Step 4: Simplify right side
    30,914.64x = 782,823,241.91
  5. Step 5: Solve for x
    x = 782,823,241.91/30,914.64
  6. Step 6: Final answer
    x = 25,322.09

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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.