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Finding the Fourth Proportional to 11,417.08, 17,098.68 and 7,894

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Solution

The fourth proportional to 11,417.08, 17,098.68 and 7,894 is: 11,822.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,417.08 : 17,098.68 = 7,894 : x
  2. Step 2: Convert to fraction form
    11,417.08/17,098.68 = 7,894/x
  3. Step 3: Cross multiply
    11,417.08x = 17,098.68 × 7,894
  4. Step 4: Simplify right side
    11,417.08x = 134,976,979.92
  5. Step 5: Solve for x
    x = 134,976,979.92/11,417.08
  6. Step 6: Final answer
    x = 11,822.37

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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.