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Finding the Fourth Proportional to 17,157.60, 23,693.04 and 10,872

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Solution

The fourth proportional to 17,157.60, 23,693.04 and 10,872 is: 15,013.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,157.60 : 23,693.04 = 10,872 : x
  2. Step 2: Convert to fraction form
    17,157.60/23,693.04 = 10,872/x
  3. Step 3: Cross multiply
    17,157.60x = 23,693.04 × 10,872
  4. Step 4: Simplify right side
    17,157.60x = 257,590,730.88
  5. Step 5: Solve for x
    x = 257,590,730.88/17,157.60
  6. Step 6: Final answer
    x = 15,013.21

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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.