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Finding the Fourth Proportional to 20,295, 30,451.62 and 12,897.54

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Solution

The fourth proportional to 20,295, 30,451.62 and 12,897.54 is: 19,352.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,295 : 30,451.62 = 12,897.54 : x
  2. Step 2: Convert to fraction form
    20,295/30,451.62 = 12,897.54/x
  3. Step 3: Cross multiply
    20,295x = 30,451.62 × 12,897.54
  4. Step 4: Simplify right side
    20,295x = 392,750,987.01
  5. Step 5: Solve for x
    x = 392,750,987.01/20,295
  6. Step 6: Final answer
    x = 19,352.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.