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Finding the Fourth Proportional to 20,491, 30,739.58 and 7,340.24

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Solution

The fourth proportional to 20,491, 30,739.58 and 7,340.24 is: 11,011.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,491 : 30,739.58 = 7,340.24 : x
  2. Step 2: Convert to fraction form
    20,491/30,739.58 = 7,340.24/x
  3. Step 3: Cross multiply
    20,491x = 30,739.58 × 7,340.24
  4. Step 4: Simplify right side
    20,491x = 225,635,894.70
  5. Step 5: Solve for x
    x = 225,635,894.70/20,491
  6. Step 6: Final answer
    x = 11,011.46

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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.