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Finding the Fourth Proportional to 20,647.62, 30,984.66 and 7,498.80

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Solution

The fourth proportional to 20,647.62, 30,984.66 and 7,498.80 is: 11,253.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,647.62 : 30,984.66 = 7,498.80 : x
  2. Step 2: Convert to fraction form
    20,647.62/30,984.66 = 7,498.80/x
  3. Step 3: Cross multiply
    20,647.62x = 30,984.66 × 7,498.80
  4. Step 4: Simplify right side
    20,647.62x = 232,347,768.41
  5. Step 5: Solve for x
    x = 232,347,768.41/20,647.62
  6. Step 6: Final answer
    x = 11,253.00

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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.