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Finding the Fourth Proportional to 20,994.30, 28,978.09 and 13,829.45

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Solution

The fourth proportional to 20,994.30, 28,978.09 and 13,829.45 is: 19,088.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,994.30 : 28,978.09 = 13,829.45 : x
  2. Step 2: Convert to fraction form
    20,994.30/28,978.09 = 13,829.45/x
  3. Step 3: Cross multiply
    20,994.30x = 28,978.09 × 13,829.45
  4. Step 4: Simplify right side
    20,994.30x = 400,750,867.29
  5. Step 5: Solve for x
    x = 400,750,867.29/20,994.30
  6. Step 6: Final answer
    x = 19,088.56

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1.5x scale

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.