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Finding the Fourth Proportional to 8,455.94, 12,684.26 and 3,775.08

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Solution

The fourth proportional to 8,455.94, 12,684.26 and 3,775.08 is: 5,662.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,455.94 : 12,684.26 = 3,775.08 : x
  2. Step 2: Convert to fraction form
    8,455.94/12,684.26 = 3,775.08/x
  3. Step 3: Cross multiply
    8,455.94x = 12,684.26 × 3,775.08
  4. Step 4: Simplify right side
    8,455.94x = 47,884,101.64
  5. Step 5: Solve for x
    x = 47,884,101.64/8,455.94
  6. Step 6: Final answer
    x = 5,662.77

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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.