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Finding the Fourth Proportional to 40,402, 60,609.57 and 11,941.84

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Solution

The fourth proportional to 40,402, 60,609.57 and 11,941.84 is: 17,914.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,402 : 60,609.57 = 11,941.84 : x
  2. Step 2: Convert to fraction form
    40,402/60,609.57 = 11,941.84/x
  3. Step 3: Cross multiply
    40,402x = 60,609.57 × 11,941.84
  4. Step 4: Simplify right side
    40,402x = 723,789,727.70
  5. Step 5: Solve for x
    x = 723,789,727.70/40,402
  6. Step 6: Final answer
    x = 17,914.70

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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.