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Finding the Fourth Proportional to 8,390.03, 11,578.14 and 4,664.03

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Solution

The fourth proportional to 8,390.03, 11,578.14 and 4,664.03 is: 6,436.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,390.03 : 11,578.14 = 4,664.03 : x
  2. Step 2: Convert to fraction form
    8,390.03/11,578.14 = 4,664.03/x
  3. Step 3: Cross multiply
    8,390.03x = 11,578.14 × 4,664.03
  4. Step 4: Simplify right side
    8,390.03x = 54,000,734.41
  5. Step 5: Solve for x
    x = 54,000,734.41/8,390.03
  6. Step 6: Final answer
    x = 6,436.30

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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.