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Finding the Fourth Proportional to 20,978.88, 28,952.48 and 12,029.28

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Solution

The fourth proportional to 20,978.88, 28,952.48 and 12,029.28 is: 16,601.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,978.88 : 28,952.48 = 12,029.28 : x
  2. Step 2: Convert to fraction form
    20,978.88/28,952.48 = 12,029.28/x
  3. Step 3: Cross multiply
    20,978.88x = 28,952.48 × 12,029.28
  4. Step 4: Simplify right side
    20,978.88x = 348,277,488.61
  5. Step 5: Solve for x
    x = 348,277,488.61/20,978.88
  6. Step 6: Final answer
    x = 16,601.34

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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.