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Finding the Fourth Proportional to 20,569.69, 30,857.10 and 6,525.91

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Solution

The fourth proportional to 20,569.69, 30,857.10 and 6,525.91 is: 9,789.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,569.69 : 30,857.10 = 6,525.91 : x
  2. Step 2: Convert to fraction form
    20,569.69/30,857.10 = 6,525.91/x
  3. Step 3: Cross multiply
    20,569.69x = 30,857.10 × 6,525.91
  4. Step 4: Simplify right side
    20,569.69x = 201,370,657.46
  5. Step 5: Solve for x
    x = 201,370,657.46/20,569.69
  6. Step 6: Final answer
    x = 9,789.68

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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.