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Finding the Fourth Proportional to 20,411, 30,616.38 and 6,560.04

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Solution

The fourth proportional to 20,411, 30,616.38 and 6,560.04 is: 9,840.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,411 : 30,616.38 = 6,560.04 : x
  2. Step 2: Convert to fraction form
    20,411/30,616.38 = 6,560.04/x
  3. Step 3: Cross multiply
    20,411x = 30,616.38 × 6,560.04
  4. Step 4: Simplify right side
    20,411x = 200,844,677.46
  5. Step 5: Solve for x
    x = 200,844,677.46/20,411
  6. Step 6: Final answer
    x = 9,840.02

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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.