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Finding the Fourth Proportional to 21,599, 29,819.58 and 14,159.96

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Solution

The fourth proportional to 21,599, 29,819.58 and 14,159.96 is: 19,549.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,599 : 29,819.58 = 14,159.96 : x
  2. Step 2: Convert to fraction form
    21,599/29,819.58 = 14,159.96/x
  3. Step 3: Cross multiply
    21,599x = 29,819.58 × 14,159.96
  4. Step 4: Simplify right side
    21,599x = 422,244,060.02
  5. Step 5: Solve for x
    x = 422,244,060.02/21,599
  6. Step 6: Final answer
    x = 19,549.24

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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.