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Finding the Fourth Proportional to 20,794.34, 31,203.88 and 7,655.94

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Solution

The fourth proportional to 20,794.34, 31,203.88 and 7,655.94 is: 11,488.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,794.34 : 31,203.88 = 7,655.94 : x
  2. Step 2: Convert to fraction form
    20,794.34/31,203.88 = 7,655.94/x
  3. Step 3: Cross multiply
    20,794.34x = 31,203.88 × 7,655.94
  4. Step 4: Simplify right side
    20,794.34x = 238,895,013.91
  5. Step 5: Solve for x
    x = 238,895,013.91/20,794.34
  6. Step 6: Final answer
    x = 11,488.46

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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.