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Finding the Fourth Proportional to 13,600.60, 18,760.08 and 9,817.78

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Solution

The fourth proportional to 13,600.60, 18,760.08 and 9,817.78 is: 13,542.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,600.60 : 18,760.08 = 9,817.78 : x
  2. Step 2: Convert to fraction form
    13,600.60/18,760.08 = 9,817.78/x
  3. Step 3: Cross multiply
    13,600.60x = 18,760.08 × 9,817.78
  4. Step 4: Simplify right side
    13,600.60x = 184,182,338.22
  5. Step 5: Solve for x
    x = 184,182,338.22/13,600.60
  6. Step 6: Final answer
    x = 13,542.22

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1.5x scale

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.