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Finding the Fourth Proportional to 21,800.96, 30,091.08 and 12,854.42

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Solution

The fourth proportional to 21,800.96, 30,091.08 and 12,854.42 is: 17,742.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,800.96 : 30,091.08 = 12,854.42 : x
  2. Step 2: Convert to fraction form
    21,800.96/30,091.08 = 12,854.42/x
  3. Step 3: Cross multiply
    21,800.96x = 30,091.08 × 12,854.42
  4. Step 4: Simplify right side
    21,800.96x = 386,803,316.30
  5. Step 5: Solve for x
    x = 386,803,316.30/21,800.96
  6. Step 6: Final answer
    x = 17,742.49

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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.