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Finding the Fourth Proportional to 20,492.82, 30,739.13 and 6,454.04

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Solution

The fourth proportional to 20,492.82, 30,739.13 and 6,454.04 is: 9,681.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,492.82 : 30,739.13 = 6,454.04 : x
  2. Step 2: Convert to fraction form
    20,492.82/30,739.13 = 6,454.04/x
  3. Step 3: Cross multiply
    20,492.82x = 30,739.13 × 6,454.04
  4. Step 4: Simplify right side
    20,492.82x = 198,391,574.59
  5. Step 5: Solve for x
    x = 198,391,574.59/20,492.82
  6. Step 6: Final answer
    x = 9,681.03

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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.