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Finding the Fourth Proportional to 12,564.88, 18,847.30 and 4,773.68

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Solution

The fourth proportional to 12,564.88, 18,847.30 and 4,773.68 is: 7,160.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,564.88 : 18,847.30 = 4,773.68 : x
  2. Step 2: Convert to fraction form
    12,564.88/18,847.30 = 4,773.68/x
  3. Step 3: Cross multiply
    12,564.88x = 18,847.30 × 4,773.68
  4. Step 4: Simplify right side
    12,564.88x = 89,970,979.06
  5. Step 5: Solve for x
    x = 89,970,979.06/12,564.88
  6. Step 6: Final answer
    x = 7,160.51

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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.