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Finding the Fourth Proportional to 21,878, 32,838.88 and 11,511.60

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Solution

The fourth proportional to 21,878, 32,838.88 and 11,511.60 is: 17,278.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,878 : 32,838.88 = 11,511.60 : x
  2. Step 2: Convert to fraction form
    21,878/32,838.88 = 11,511.60/x
  3. Step 3: Cross multiply
    21,878x = 32,838.88 × 11,511.60
  4. Step 4: Simplify right side
    21,878x = 378,028,051.01
  5. Step 5: Solve for x
    x = 378,028,051.01/21,878
  6. Step 6: Final answer
    x = 17,278.91

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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.