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Finding the Fourth Proportional to 12,365.43, 18,543.14 and 7,678.50

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Solution

The fourth proportional to 12,365.43, 18,543.14 and 7,678.50 is: 11,514.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,365.43 : 18,543.14 = 7,678.50 : x
  2. Step 2: Convert to fraction form
    12,365.43/18,543.14 = 7,678.50/x
  3. Step 3: Cross multiply
    12,365.43x = 18,543.14 × 7,678.50
  4. Step 4: Simplify right side
    12,365.43x = 142,383,500.49
  5. Step 5: Solve for x
    x = 142,383,500.49/12,365.43
  6. Step 6: Final answer
    x = 11,514.64

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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.