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Finding the Fourth Proportional to 30,469.68, 42,048.48 and 17,894.64

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Solution

The fourth proportional to 30,469.68, 42,048.48 and 17,894.64 is: 24,694.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,469.68 : 42,048.48 = 17,894.64 : x
  2. Step 2: Convert to fraction form
    30,469.68/42,048.48 = 17,894.64/x
  3. Step 3: Cross multiply
    30,469.68x = 42,048.48 × 17,894.64
  4. Step 4: Simplify right side
    30,469.68x = 752,442,412.15
  5. Step 5: Solve for x
    x = 752,442,412.15/30,469.68
  6. Step 6: Final answer
    x = 24,694.79

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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.