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Finding the Fourth Proportional to 20,739.80, 31,100.70 and 9,642.80

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Solution

The fourth proportional to 20,739.80, 31,100.70 and 9,642.80 is: 14,460.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,739.80 : 31,100.70 = 9,642.80 : x
  2. Step 2: Convert to fraction form
    20,739.80/31,100.70 = 9,642.80/x
  3. Step 3: Cross multiply
    20,739.80x = 31,100.70 × 9,642.80
  4. Step 4: Simplify right side
    20,739.80x = 299,897,829.96
  5. Step 5: Solve for x
    x = 299,897,829.96/20,739.80
  6. Step 6: Final answer
    x = 14,460.02

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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.