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Finding the Fourth Proportional to 3,265, 4,498.50 and 3,178.60

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Solution

The fourth proportional to 3,265, 4,498.50 and 3,178.60 is: 4,379.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,265 : 4,498.50 = 3,178.60 : x
  2. Step 2: Convert to fraction form
    3,265/4,498.50 = 3,178.60/x
  3. Step 3: Cross multiply
    3,265x = 4,498.50 × 3,178.60
  4. Step 4: Simplify right side
    3,265x = 14,298,932.10
  5. Step 5: Solve for x
    x = 14,298,932.10/3,265
  6. Step 6: Final answer
    x = 4,379.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.