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Finding the Fourth Proportional to 8,438, 11,644.68 and 4,712.24

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Solution

The fourth proportional to 8,438, 11,644.68 and 4,712.24 is: 6,503.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,438 : 11,644.68 = 4,712.24 : x
  2. Step 2: Convert to fraction form
    8,438/11,644.68 = 4,712.24/x
  3. Step 3: Cross multiply
    8,438x = 11,644.68 × 4,712.24
  4. Step 4: Simplify right side
    8,438x = 54,872,526.88
  5. Step 5: Solve for x
    x = 54,872,526.88/8,438
  6. Step 6: Final answer
    x = 6,503.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.