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Finding the Fourth Proportional to 20,929.34, 28,896 and 12,980

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Solution

The fourth proportional to 20,929.34, 28,896 and 12,980 is: 17,920.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,929.34 : 28,896 = 12,980 : x
  2. Step 2: Convert to fraction form
    20,929.34/28,896 = 12,980/x
  3. Step 3: Cross multiply
    20,929.34x = 28,896 × 12,980
  4. Step 4: Simplify right side
    20,929.34x = 375,070,080
  5. Step 5: Solve for x
    x = 375,070,080/20,929.34
  6. Step 6: Final answer
    x = 17,920.78

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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.