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Finding the Fourth Proportional to 15,891.02, 21,928.11 and 9,516.42

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Solution

The fourth proportional to 15,891.02, 21,928.11 and 9,516.42 is: 13,131.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,891.02 : 21,928.11 = 9,516.42 : x
  2. Step 2: Convert to fraction form
    15,891.02/21,928.11 = 9,516.42/x
  3. Step 3: Cross multiply
    15,891.02x = 21,928.11 × 9,516.42
  4. Step 4: Simplify right side
    15,891.02x = 208,677,104.57
  5. Step 5: Solve for x
    x = 208,677,104.57/15,891.02
  6. Step 6: Final answer
    x = 13,131.77

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1.5x scale

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.