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Finding the Fourth Proportional to 18,864, 26,035.20 and 11,416.32

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Solution

The fourth proportional to 18,864, 26,035.20 and 11,416.32 is: 15,756.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,864 : 26,035.20 = 11,416.32 : x
  2. Step 2: Convert to fraction form
    18,864/26,035.20 = 11,416.32/x
  3. Step 3: Cross multiply
    18,864x = 26,035.20 × 11,416.32
  4. Step 4: Simplify right side
    18,864x = 297,226,174.46
  5. Step 5: Solve for x
    x = 297,226,174.46/18,864
  6. Step 6: Final answer
    x = 15,756.26

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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.