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Finding the Fourth Proportional to 39,648, 54,716.40 and 22,886.40

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Solution

The fourth proportional to 39,648, 54,716.40 and 22,886.40 is: 31,584.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,648 : 54,716.40 = 22,886.40 : x
  2. Step 2: Convert to fraction form
    39,648/54,716.40 = 22,886.40/x
  3. Step 3: Cross multiply
    39,648x = 54,716.40 × 22,886.40
  4. Step 4: Simplify right side
    39,648x = 1,252,261,416.96
  5. Step 5: Solve for x
    x = 1,252,261,416.96/39,648
  6. Step 6: Final answer
    x = 31,584.48

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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.