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Finding the Fourth Proportional to 23,120.80, 31,879.68 and 21,875.20

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Solution

The fourth proportional to 23,120.80, 31,879.68 and 21,875.20 is: 30,162.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,120.80 : 31,879.68 = 21,875.20 : x
  2. Step 2: Convert to fraction form
    23,120.80/31,879.68 = 21,875.20/x
  3. Step 3: Cross multiply
    23,120.80x = 31,879.68 × 21,875.20
  4. Step 4: Simplify right side
    23,120.80x = 697,374,375.94
  5. Step 5: Solve for x
    x = 697,374,375.94/23,120.80
  6. Step 6: Final answer
    x = 30,162.21

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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.