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Finding the Fourth Proportional to 21,091, 29,103.06 and 11,658.28

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Solution

The fourth proportional to 21,091, 29,103.06 and 11,658.28 is: 16,087.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,091 : 29,103.06 = 11,658.28 : x
  2. Step 2: Convert to fraction form
    21,091/29,103.06 = 11,658.28/x
  3. Step 3: Cross multiply
    21,091x = 29,103.06 × 11,658.28
  4. Step 4: Simplify right side
    21,091x = 339,291,622.34
  5. Step 5: Solve for x
    x = 339,291,622.34/21,091
  6. Step 6: Final answer
    x = 16,087.03

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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.