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Finding the Fourth Proportional to 20,564.57, 30,847.35 and 6,713.57

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Solution

The fourth proportional to 20,564.57, 30,847.35 and 6,713.57 is: 10,070.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,564.57 : 30,847.35 = 6,713.57 : x
  2. Step 2: Convert to fraction form
    20,564.57/30,847.35 = 6,713.57/x
  3. Step 3: Cross multiply
    20,564.57x = 30,847.35 × 6,713.57
  4. Step 4: Simplify right side
    20,564.57x = 207,095,689.30
  5. Step 5: Solve for x
    x = 207,095,689.30/20,564.57
  6. Step 6: Final answer
    x = 10,070.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.