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Finding the Fourth Proportional to 13,650, 18,835.80 and 7,682.16

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Solution

The fourth proportional to 13,650, 18,835.80 and 7,682.16 is: 10,600.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,650 : 18,835.80 = 7,682.16 : x
  2. Step 2: Convert to fraction form
    13,650/18,835.80 = 7,682.16/x
  3. Step 3: Cross multiply
    13,650x = 18,835.80 × 7,682.16
  4. Step 4: Simplify right side
    13,650x = 144,699,629.33
  5. Step 5: Solve for x
    x = 144,699,629.33/13,650
  6. Step 6: Final answer
    x = 10,600.71

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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.