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Finding the Fourth Proportional to 21,956.40, 32,907.60 and 14,936.40

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Solution

The fourth proportional to 21,956.40, 32,907.60 and 14,936.40 is: 22,386.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,956.40 : 32,907.60 = 14,936.40 : x
  2. Step 2: Convert to fraction form
    21,956.40/32,907.60 = 14,936.40/x
  3. Step 3: Cross multiply
    21,956.40x = 32,907.60 × 14,936.40
  4. Step 4: Simplify right side
    21,956.40x = 491,521,076.64
  5. Step 5: Solve for x
    x = 491,521,076.64/21,956.40
  6. Step 6: Final answer
    x = 22,386.23

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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.