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Finding the Fourth Proportional to 21,838.12, 32,749.12 and 7,794.39

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Solution

The fourth proportional to 21,838.12, 32,749.12 and 7,794.39 is: 11,688.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,838.12 : 32,749.12 = 7,794.39 : x
  2. Step 2: Convert to fraction form
    21,838.12/32,749.12 = 7,794.39/x
  3. Step 3: Cross multiply
    21,838.12x = 32,749.12 × 7,794.39
  4. Step 4: Simplify right side
    21,838.12x = 255,259,393.95
  5. Step 5: Solve for x
    x = 255,259,393.95/21,838.12
  6. Step 6: Final answer
    x = 11,688.71

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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.