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Finding the Fourth Proportional to 20,684.52, 30,998.84 and 14,828.22

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Solution

The fourth proportional to 20,684.52, 30,998.84 and 14,828.22 is: 22,222.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,684.52 : 30,998.84 = 14,828.22 : x
  2. Step 2: Convert to fraction form
    20,684.52/30,998.84 = 14,828.22/x
  3. Step 3: Cross multiply
    20,684.52x = 30,998.84 × 14,828.22
  4. Step 4: Simplify right side
    20,684.52x = 459,657,545.12
  5. Step 5: Solve for x
    x = 459,657,545.12/20,684.52
  6. Step 6: Final answer
    x = 22,222.30

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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.