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Finding the Fourth Proportional to 21,088, 29,086.32 and 13,021.48

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Solution

The fourth proportional to 21,088, 29,086.32 and 13,021.48 is: 17,960.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,088 : 29,086.32 = 13,021.48 : x
  2. Step 2: Convert to fraction form
    21,088/29,086.32 = 13,021.48/x
  3. Step 3: Cross multiply
    21,088x = 29,086.32 × 13,021.48
  4. Step 4: Simplify right side
    21,088x = 378,746,934.15
  5. Step 5: Solve for x
    x = 378,746,934.15/21,088
  6. Step 6: Final answer
    x = 17,960.31

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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.