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Finding the Fourth Proportional to 21,272, 31,922.61 and 7,421

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Solution

The fourth proportional to 21,272, 31,922.61 and 7,421 is: 11,136.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,272 : 31,922.61 = 7,421 : x
  2. Step 2: Convert to fraction form
    21,272/31,922.61 = 7,421/x
  3. Step 3: Cross multiply
    21,272x = 31,922.61 × 7,421
  4. Step 4: Simplify right side
    21,272x = 236,897,688.81
  5. Step 5: Solve for x
    x = 236,897,688.81/21,272
  6. Step 6: Final answer
    x = 11,136.60

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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.