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Finding the Fourth Proportional to 21,883.92, 30,199.76 and 12,934.64

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Solution

The fourth proportional to 21,883.92, 30,199.76 and 12,934.64 is: 17,849.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,883.92 : 30,199.76 = 12,934.64 : x
  2. Step 2: Convert to fraction form
    21,883.92/30,199.76 = 12,934.64/x
  3. Step 3: Cross multiply
    21,883.92x = 30,199.76 × 12,934.64
  4. Step 4: Simplify right side
    21,883.92x = 390,623,023.69
  5. Step 5: Solve for x
    x = 390,623,023.69/21,883.92
  6. Step 6: Final answer
    x = 17,849.77

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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.