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Finding the Fourth Proportional to 11,710, 16,172.88 and 9,089.20

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Solution

The fourth proportional to 11,710, 16,172.88 and 9,089.20 is: 12,553.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,710 : 16,172.88 = 9,089.20 : x
  2. Step 2: Convert to fraction form
    11,710/16,172.88 = 9,089.20/x
  3. Step 3: Cross multiply
    11,710x = 16,172.88 × 9,089.20
  4. Step 4: Simplify right side
    11,710x = 146,998,540.90
  5. Step 5: Solve for x
    x = 146,998,540.90/11,710
  6. Step 6: Final answer
    x = 12,553.25

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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.