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Finding the Fourth Proportional to 19,200, 26,504.88 and 13,539.36

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Solution

The fourth proportional to 19,200, 26,504.88 and 13,539.36 is: 18,690.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,200 : 26,504.88 = 13,539.36 : x
  2. Step 2: Convert to fraction form
    19,200/26,504.88 = 13,539.36/x
  3. Step 3: Cross multiply
    19,200x = 26,504.88 × 13,539.36
  4. Step 4: Simplify right side
    19,200x = 358,859,112.08
  5. Step 5: Solve for x
    x = 358,859,112.08/19,200
  6. Step 6: Final answer
    x = 18,690.58

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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.