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Finding the Fourth Proportional to 21,600, 29,820.96 and 14,160.96

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Solution

The fourth proportional to 21,600, 29,820.96 and 14,160.96 is: 19,550.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,600 : 29,820.96 = 14,160.96 : x
  2. Step 2: Convert to fraction form
    21,600/29,820.96 = 14,160.96/x
  3. Step 3: Cross multiply
    21,600x = 29,820.96 × 14,160.96
  4. Step 4: Simplify right side
    21,600x = 422,293,421.72
  5. Step 5: Solve for x
    x = 422,293,421.72/21,600
  6. Step 6: Final answer
    x = 19,550.62

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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.