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Finding the Fourth Proportional to 8,938, 13,407.72 and 2,782

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Solution

The fourth proportional to 8,938, 13,407.72 and 2,782 is: 4,173.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,938 : 13,407.72 = 2,782 : x
  2. Step 2: Convert to fraction form
    8,938/13,407.72 = 2,782/x
  3. Step 3: Cross multiply
    8,938x = 13,407.72 × 2,782
  4. Step 4: Simplify right side
    8,938x = 37,300,277.04
  5. Step 5: Solve for x
    x = 37,300,277.04/8,938
  6. Step 6: Final answer
    x = 4,173.22

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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.