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Finding the Fourth Proportional to 20,462.98, 30,695.06 and 7,982.50

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Solution

The fourth proportional to 20,462.98, 30,695.06 and 7,982.50 is: 11,973.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,462.98 : 30,695.06 = 7,982.50 : x
  2. Step 2: Convert to fraction form
    20,462.98/30,695.06 = 7,982.50/x
  3. Step 3: Cross multiply
    20,462.98x = 30,695.06 × 7,982.50
  4. Step 4: Simplify right side
    20,462.98x = 245,023,316.45
  5. Step 5: Solve for x
    x = 245,023,316.45/20,462.98
  6. Step 6: Final answer
    x = 11,973.98

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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.