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Finding the Fourth Proportional to 13,855.58, 20,783.37 and 6,465.22

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Solution

The fourth proportional to 13,855.58, 20,783.37 and 6,465.22 is: 9,697.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,855.58 : 20,783.37 = 6,465.22 : x
  2. Step 2: Convert to fraction form
    13,855.58/20,783.37 = 6,465.22/x
  3. Step 3: Cross multiply
    13,855.58x = 20,783.37 × 6,465.22
  4. Step 4: Simplify right side
    13,855.58x = 134,369,059.39
  5. Step 5: Solve for x
    x = 134,369,059.39/13,855.58
  6. Step 6: Final answer
    x = 9,697.83

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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.