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Finding the Fourth Proportional to 26,821.60, 40,232.16 and 8,101.60

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Solution

The fourth proportional to 26,821.60, 40,232.16 and 8,101.60 is: 12,152.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,821.60 : 40,232.16 = 8,101.60 : x
  2. Step 2: Convert to fraction form
    26,821.60/40,232.16 = 8,101.60/x
  3. Step 3: Cross multiply
    26,821.60x = 40,232.16 × 8,101.60
  4. Step 4: Simplify right side
    26,821.60x = 325,944,867.46
  5. Step 5: Solve for x
    x = 325,944,867.46/26,821.60
  6. Step 6: Final answer
    x = 12,152.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.