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Finding the Fourth Proportional to 19,548.64, 26,978.88 and 11,167.84

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Solution

The fourth proportional to 19,548.64, 26,978.88 and 11,167.84 is: 15,412.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,548.64 : 26,978.88 = 11,167.84 : x
  2. Step 2: Convert to fraction form
    19,548.64/26,978.88 = 11,167.84/x
  3. Step 3: Cross multiply
    19,548.64x = 26,978.88 × 11,167.84
  4. Step 4: Simplify right side
    19,548.64x = 301,295,815.22
  5. Step 5: Solve for x
    x = 301,295,815.22/19,548.64
  6. Step 6: Final answer
    x = 15,412.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.