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Finding the Fourth Proportional to 21,084.66, 31,602.62 and 7,928.64

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Solution

The fourth proportional to 21,084.66, 31,602.62 and 7,928.64 is: 11,883.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,084.66 : 31,602.62 = 7,928.64 : x
  2. Step 2: Convert to fraction form
    21,084.66/31,602.62 = 7,928.64/x
  3. Step 3: Cross multiply
    21,084.66x = 31,602.62 × 7,928.64
  4. Step 4: Simplify right side
    21,084.66x = 250,565,797.04
  5. Step 5: Solve for x
    x = 250,565,797.04/21,084.66
  6. Step 6: Final answer
    x = 11,883.80

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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.