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Finding the Fourth Proportional to 20,357.40, 30,539.88 and 7,206.24

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Solution

The fourth proportional to 20,357.40, 30,539.88 and 7,206.24 is: 10,810.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,357.40 : 30,539.88 = 7,206.24 : x
  2. Step 2: Convert to fraction form
    20,357.40/30,539.88 = 7,206.24/x
  3. Step 3: Cross multiply
    20,357.40x = 30,539.88 × 7,206.24
  4. Step 4: Simplify right side
    20,357.40x = 220,077,704.85
  5. Step 5: Solve for x
    x = 220,077,704.85/20,357.40
  6. Step 6: Final answer
    x = 10,810.70

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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.