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Finding the Fourth Proportional to 20,657.28, 30,813.88 and 18,664.16

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Solution

The fourth proportional to 20,657.28, 30,813.88 and 18,664.16 is: 27,840.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,657.28 : 30,813.88 = 18,664.16 : x
  2. Step 2: Convert to fraction form
    20,657.28/30,813.88 = 18,664.16/x
  3. Step 3: Cross multiply
    20,657.28x = 30,813.88 × 18,664.16
  4. Step 4: Simplify right side
    20,657.28x = 575,115,186.54
  5. Step 5: Solve for x
    x = 575,115,186.54/20,657.28
  6. Step 6: Final answer
    x = 27,840.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.