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Finding the Fourth Proportional to 21,167.20, 31,750.80 and 19,871.20

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Solution

The fourth proportional to 21,167.20, 31,750.80 and 19,871.20 is: 29,806.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,167.20 : 31,750.80 = 19,871.20 : x
  2. Step 2: Convert to fraction form
    21,167.20/31,750.80 = 19,871.20/x
  3. Step 3: Cross multiply
    21,167.20x = 31,750.80 × 19,871.20
  4. Step 4: Simplify right side
    21,167.20x = 630,926,496.96
  5. Step 5: Solve for x
    x = 630,926,496.96/21,167.20
  6. Step 6: Final answer
    x = 29,806.80

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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.