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Finding the Fourth Proportional to 20,907.78, 31,358.07 and 6,868.08

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Solution

The fourth proportional to 20,907.78, 31,358.07 and 6,868.08 is: 10,300.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,907.78 : 31,358.07 = 6,868.08 : x
  2. Step 2: Convert to fraction form
    20,907.78/31,358.07 = 6,868.08/x
  3. Step 3: Cross multiply
    20,907.78x = 31,358.07 × 6,868.08
  4. Step 4: Simplify right side
    20,907.78x = 215,369,733.41
  5. Step 5: Solve for x
    x = 215,369,733.41/20,907.78
  6. Step 6: Final answer
    x = 10,300.94

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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.