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Finding the Fourth Proportional to 4,662.94, 6,421.80 and 3,869.68

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Solution

The fourth proportional to 4,662.94, 6,421.80 and 3,869.68 is: 5,329.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.94 : 6,421.80 = 3,869.68 : x
  2. Step 2: Convert to fraction form
    4,662.94/6,421.80 = 3,869.68/x
  3. Step 3: Cross multiply
    4,662.94x = 6,421.80 × 3,869.68
  4. Step 4: Simplify right side
    4,662.94x = 24,850,311.02
  5. Step 5: Solve for x
    x = 24,850,311.02/4,662.94
  6. Step 6: Final answer
    x = 5,329.32

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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.