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Finding the Fourth Proportional to 28,969, 39,977.70 and 15,721

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Solution

The fourth proportional to 28,969, 39,977.70 and 15,721 is: 21,695.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,969 : 39,977.70 = 15,721 : x
  2. Step 2: Convert to fraction form
    28,969/39,977.70 = 15,721/x
  3. Step 3: Cross multiply
    28,969x = 39,977.70 × 15,721
  4. Step 4: Simplify right side
    28,969x = 628,489,421.70
  5. Step 5: Solve for x
    x = 628,489,421.70/28,969
  6. Step 6: Final answer
    x = 21,695.24

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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.