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Finding the Fourth Proportional to 21,147, 29,169.36 and 13,590.78

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Solution

The fourth proportional to 21,147, 29,169.36 and 13,590.78 is: 18,746.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,147 : 29,169.36 = 13,590.78 : x
  2. Step 2: Convert to fraction form
    21,147/29,169.36 = 13,590.78/x
  3. Step 3: Cross multiply
    21,147x = 29,169.36 × 13,590.78
  4. Step 4: Simplify right side
    21,147x = 396,434,354.50
  5. Step 5: Solve for x
    x = 396,434,354.50/21,147
  6. Step 6: Final answer
    x = 18,746.60

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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.