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Finding the Fourth Proportional to 21,832, 30,133.44 and 12,405.76

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Solution

The fourth proportional to 21,832, 30,133.44 and 12,405.76 is: 17,122.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,832 : 30,133.44 = 12,405.76 : x
  2. Step 2: Convert to fraction form
    21,832/30,133.44 = 12,405.76/x
  3. Step 3: Cross multiply
    21,832x = 30,133.44 × 12,405.76
  4. Step 4: Simplify right side
    21,832x = 373,828,224.61
  5. Step 5: Solve for x
    x = 373,828,224.61/21,832
  6. Step 6: Final answer
    x = 17,122.95

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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.