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Finding the Fourth Proportional to 30,275.88, 41,786.49 and 20,048.88

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Solution

The fourth proportional to 30,275.88, 41,786.49 and 20,048.88 is: 27,671.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,275.88 : 41,786.49 = 20,048.88 : x
  2. Step 2: Convert to fraction form
    30,275.88/41,786.49 = 20,048.88/x
  3. Step 3: Cross multiply
    30,275.88x = 41,786.49 × 20,048.88
  4. Step 4: Simplify right side
    30,275.88x = 837,772,555.51
  5. Step 5: Solve for x
    x = 837,772,555.51/30,275.88
  6. Step 6: Final answer
    x = 27,671.29

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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.