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Finding the Fourth Proportional to 27,613, 38,109.54 and 16,435

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Solution

The fourth proportional to 27,613, 38,109.54 and 16,435 is: 22,682.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,613 : 38,109.54 = 16,435 : x
  2. Step 2: Convert to fraction form
    27,613/38,109.54 = 16,435/x
  3. Step 3: Cross multiply
    27,613x = 38,109.54 × 16,435
  4. Step 4: Simplify right side
    27,613x = 626,330,289.90
  5. Step 5: Solve for x
    x = 626,330,289.90/27,613
  6. Step 6: Final answer
    x = 22,682.44

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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.