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Finding the Fourth Proportional to 21,809, 30,097.06 and 11,873.64

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Solution

The fourth proportional to 21,809, 30,097.06 and 11,873.64 is: 16,385.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,809 : 30,097.06 = 11,873.64 : x
  2. Step 2: Convert to fraction form
    21,809/30,097.06 = 11,873.64/x
  3. Step 3: Cross multiply
    21,809x = 30,097.06 × 11,873.64
  4. Step 4: Simplify right side
    21,809x = 357,361,655.50
  5. Step 5: Solve for x
    x = 357,361,655.50/21,809
  6. Step 6: Final answer
    x = 16,385.97

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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.