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Finding the Fourth Proportional to 20,560, 30,840.54 and 6,709

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Solution

The fourth proportional to 20,560, 30,840.54 and 6,709 is: 10,063.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,560 : 30,840.54 = 6,709 : x
  2. Step 2: Convert to fraction form
    20,560/30,840.54 = 6,709/x
  3. Step 3: Cross multiply
    20,560x = 30,840.54 × 6,709
  4. Step 4: Simplify right side
    20,560x = 206,909,182.86
  5. Step 5: Solve for x
    x = 206,909,182.86/20,560
  6. Step 6: Final answer
    x = 10,063.68

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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.