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Finding the Fourth Proportional to 8,651.84, 12,978.40 and 2,496.32

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Solution

The fourth proportional to 8,651.84, 12,978.40 and 2,496.32 is: 3,744.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,651.84 : 12,978.40 = 2,496.32 : x
  2. Step 2: Convert to fraction form
    8,651.84/12,978.40 = 2,496.32/x
  3. Step 3: Cross multiply
    8,651.84x = 12,978.40 × 2,496.32
  4. Step 4: Simplify right side
    8,651.84x = 32,398,239.49
  5. Step 5: Solve for x
    x = 32,398,239.49/8,651.84
  6. Step 6: Final answer
    x = 3,744.66

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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.