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Finding the Fourth Proportional to 11,402, 17,088.96 and 8,097.20

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Solution

The fourth proportional to 11,402, 17,088.96 and 8,097.20 is: 12,135.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,402 : 17,088.96 = 8,097.20 : x
  2. Step 2: Convert to fraction form
    11,402/17,088.96 = 8,097.20/x
  3. Step 3: Cross multiply
    11,402x = 17,088.96 × 8,097.20
  4. Step 4: Simplify right side
    11,402x = 138,372,726.91
  5. Step 5: Solve for x
    x = 138,372,726.91/11,402
  6. Step 6: Final answer
    x = 12,135.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.