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Finding the Fourth Proportional to 28,270, 39,013.68 and 15,694.48

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Solution

The fourth proportional to 28,270, 39,013.68 and 15,694.48 is: 21,658.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,270 : 39,013.68 = 15,694.48 : x
  2. Step 2: Convert to fraction form
    28,270/39,013.68 = 15,694.48/x
  3. Step 3: Cross multiply
    28,270x = 39,013.68 × 15,694.48
  4. Step 4: Simplify right side
    28,270x = 612,299,420.49
  5. Step 5: Solve for x
    x = 612,299,420.49/28,270
  6. Step 6: Final answer
    x = 21,658.98

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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.