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Finding the Fourth Proportional to 22,458, 33,663.96 and 9,318

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Solution

The fourth proportional to 22,458, 33,663.96 and 9,318 is: 13,967.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,458 : 33,663.96 = 9,318 : x
  2. Step 2: Convert to fraction form
    22,458/33,663.96 = 9,318/x
  3. Step 3: Cross multiply
    22,458x = 33,663.96 × 9,318
  4. Step 4: Simplify right side
    22,458x = 313,680,779.28
  5. Step 5: Solve for x
    x = 313,680,779.28/22,458
  6. Step 6: Final answer
    x = 13,967.44

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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.