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Finding the Fourth Proportional to 8,638.38, 12,964.05 and 5,356.26

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Solution

The fourth proportional to 8,638.38, 12,964.05 and 5,356.26 is: 8,038.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,638.38 : 12,964.05 = 5,356.26 : x
  2. Step 2: Convert to fraction form
    8,638.38/12,964.05 = 5,356.26/x
  3. Step 3: Cross multiply
    8,638.38x = 12,964.05 × 5,356.26
  4. Step 4: Simplify right side
    8,638.38x = 69,438,822.45
  5. Step 5: Solve for x
    x = 69,438,822.45/8,638.38
  6. Step 6: Final answer
    x = 8,038.41

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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.