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Finding the Fourth Proportional to 13,734.96, 20,602.44 and 7,887.84

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Solution

The fourth proportional to 13,734.96, 20,602.44 and 7,887.84 is: 11,831.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,734.96 : 20,602.44 = 7,887.84 : x
  2. Step 2: Convert to fraction form
    13,734.96/20,602.44 = 7,887.84/x
  3. Step 3: Cross multiply
    13,734.96x = 20,602.44 × 7,887.84
  4. Step 4: Simplify right side
    13,734.96x = 162,508,750.33
  5. Step 5: Solve for x
    x = 162,508,750.33/13,734.96
  6. Step 6: Final answer
    x = 11,831.76

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1.5x scale

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.