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Finding the Fourth Proportional to 21,540.98, 32,311.49 and 9,846

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Solution

The fourth proportional to 21,540.98, 32,311.49 and 9,846 is: 14,769.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,540.98 : 32,311.49 = 9,846 : x
  2. Step 2: Convert to fraction form
    21,540.98/32,311.49 = 9,846/x
  3. Step 3: Cross multiply
    21,540.98x = 32,311.49 × 9,846
  4. Step 4: Simplify right side
    21,540.98x = 318,138,881.31
  5. Step 5: Solve for x
    x = 318,138,881.31/21,540.98
  6. Step 6: Final answer
    x = 14,769.01

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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.