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Finding the Fourth Proportional to 12,474.64, 18,712.02 and 3,240.64

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Solution

The fourth proportional to 12,474.64, 18,712.02 and 3,240.64 is: 4,860.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,474.64 : 18,712.02 = 3,240.64 : x
  2. Step 2: Convert to fraction form
    12,474.64/18,712.02 = 3,240.64/x
  3. Step 3: Cross multiply
    12,474.64x = 18,712.02 × 3,240.64
  4. Step 4: Simplify right side
    12,474.64x = 60,638,920.49
  5. Step 5: Solve for x
    x = 60,638,920.49/12,474.64
  6. Step 6: Final answer
    x = 4,860.98

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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.