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Finding the Fourth Proportional to 20,319.20, 30,464.40 and 7,834.40

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Solution

The fourth proportional to 20,319.20, 30,464.40 and 7,834.40 is: 11,746.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,319.20 : 30,464.40 = 7,834.40 : x
  2. Step 2: Convert to fraction form
    20,319.20/30,464.40 = 7,834.40/x
  3. Step 3: Cross multiply
    20,319.20x = 30,464.40 × 7,834.40
  4. Step 4: Simplify right side
    20,319.20x = 238,670,295.36
  5. Step 5: Solve for x
    x = 238,670,295.36/20,319.20
  6. Step 6: Final answer
    x = 11,746.05

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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.