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Finding the Fourth Proportional to 21,270, 31,919.61 and 7,419

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Solution

The fourth proportional to 21,270, 31,919.61 and 7,419 is: 11,133.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,270 : 31,919.61 = 7,419 : x
  2. Step 2: Convert to fraction form
    21,270/31,919.61 = 7,419/x
  3. Step 3: Cross multiply
    21,270x = 31,919.61 × 7,419
  4. Step 4: Simplify right side
    21,270x = 236,811,586.59
  5. Step 5: Solve for x
    x = 236,811,586.59/21,270
  6. Step 6: Final answer
    x = 11,133.60

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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.