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Finding the Fourth Proportional to 20,498.20, 30,689.70 and 19,922.20

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Solution

The fourth proportional to 20,498.20, 30,689.70 and 19,922.20 is: 29,827.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,498.20 : 30,689.70 = 19,922.20 : x
  2. Step 2: Convert to fraction form
    20,498.20/30,689.70 = 19,922.20/x
  3. Step 3: Cross multiply
    20,498.20x = 30,689.70 × 19,922.20
  4. Step 4: Simplify right side
    20,498.20x = 611,406,341.34
  5. Step 5: Solve for x
    x = 611,406,341.34/20,498.20
  6. Step 6: Final answer
    x = 29,827.32

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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.