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Finding the Fourth Proportional to 15,889.98, 21,928.49 and 9,516.86

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Solution

The fourth proportional to 15,889.98, 21,928.49 and 9,516.86 is: 13,133.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,889.98 : 21,928.49 = 9,516.86 : x
  2. Step 2: Convert to fraction form
    15,889.98/21,928.49 = 9,516.86/x
  3. Step 3: Cross multiply
    15,889.98x = 21,928.49 × 9,516.86
  4. Step 4: Simplify right side
    15,889.98x = 208,690,369.34
  5. Step 5: Solve for x
    x = 208,690,369.34/15,889.98
  6. Step 6: Final answer
    x = 13,133.46

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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.