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Finding the Fourth Proportional to 8,398, 12,596.68 and 2,158.04

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Solution

The fourth proportional to 8,398, 12,596.68 and 2,158.04 is: 3,236.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,398 : 12,596.68 = 2,158.04 : x
  2. Step 2: Convert to fraction form
    8,398/12,596.68 = 2,158.04/x
  3. Step 3: Cross multiply
    8,398x = 12,596.68 × 2,158.04
  4. Step 4: Simplify right side
    8,398x = 27,184,139.31
  5. Step 5: Solve for x
    x = 27,184,139.31/8,398
  6. Step 6: Final answer
    x = 3,236.98

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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.