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Finding the Fourth Proportional to 21,089, 29,087.70 and 13,022.48

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Solution

The fourth proportional to 21,089, 29,087.70 and 13,022.48 is: 17,961.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,089 : 29,087.70 = 13,022.48 : x
  2. Step 2: Convert to fraction form
    21,089/29,087.70 = 13,022.48/x
  3. Step 3: Cross multiply
    21,089x = 29,087.70 × 13,022.48
  4. Step 4: Simplify right side
    21,089x = 378,793,991.50
  5. Step 5: Solve for x
    x = 378,793,991.50/21,089
  6. Step 6: Final answer
    x = 17,961.69

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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.