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Finding the Fourth Proportional to 28,472, 39,291.54 and 15,896.84

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Solution

The fourth proportional to 28,472, 39,291.54 and 15,896.84 is: 21,937.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,472 : 39,291.54 = 15,896.84 : x
  2. Step 2: Convert to fraction form
    28,472/39,291.54 = 15,896.84/x
  3. Step 3: Cross multiply
    28,472x = 39,291.54 × 15,896.84
  4. Step 4: Simplify right side
    28,472x = 624,611,324.73
  5. Step 5: Solve for x
    x = 624,611,324.73/28,472
  6. Step 6: Final answer
    x = 21,937.74

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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.