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Finding the Fourth Proportional to 21,497.86, 29,673.24 and 13,000

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Solution

The fourth proportional to 21,497.86, 29,673.24 and 13,000 is: 17,943.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,497.86 : 29,673.24 = 13,000 : x
  2. Step 2: Convert to fraction form
    21,497.86/29,673.24 = 13,000/x
  3. Step 3: Cross multiply
    21,497.86x = 29,673.24 × 13,000
  4. Step 4: Simplify right side
    21,497.86x = 385,752,120
  5. Step 5: Solve for x
    x = 385,752,120/21,497.86
  6. Step 6: Final answer
    x = 17,943.75

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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.