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Finding the Fourth Proportional to 21,922.36, 32,896.08 and 9,271.12

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Solution

The fourth proportional to 21,922.36, 32,896.08 and 9,271.12 is: 13,911.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,922.36 : 32,896.08 = 9,271.12 : x
  2. Step 2: Convert to fraction form
    21,922.36/32,896.08 = 9,271.12/x
  3. Step 3: Cross multiply
    21,922.36x = 32,896.08 × 9,271.12
  4. Step 4: Simplify right side
    21,922.36x = 304,983,505.21
  5. Step 5: Solve for x
    x = 304,983,505.21/21,922.36
  6. Step 6: Final answer
    x = 13,911.98

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1.5x scale

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.