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Finding the Fourth Proportional to 15,884.64, 21,921.36 and 8,811.36

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Solution

The fourth proportional to 15,884.64, 21,921.36 and 8,811.36 is: 12,159.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,884.64 : 21,921.36 = 8,811.36 : x
  2. Step 2: Convert to fraction form
    15,884.64/21,921.36 = 8,811.36/x
  3. Step 3: Cross multiply
    15,884.64x = 21,921.36 × 8,811.36
  4. Step 4: Simplify right side
    15,884.64x = 193,156,994.65
  5. Step 5: Solve for x
    x = 193,156,994.65/15,884.64
  6. Step 6: Final answer
    x = 12,159.99

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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.