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Finding the Fourth Proportional to 11,678.24, 17,440.36 and 10,388

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Solution

The fourth proportional to 11,678.24, 17,440.36 and 10,388 is: 15,513.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,678.24 : 17,440.36 = 10,388 : x
  2. Step 2: Convert to fraction form
    11,678.24/17,440.36 = 10,388/x
  3. Step 3: Cross multiply
    11,678.24x = 17,440.36 × 10,388
  4. Step 4: Simplify right side
    11,678.24x = 181,170,459.68
  5. Step 5: Solve for x
    x = 181,170,459.68/11,678.24
  6. Step 6: Final answer
    x = 15,513.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.