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Finding the Fourth Proportional to 3,646.67, 5,471.79 and 2,259.64

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Solution

The fourth proportional to 3,646.67, 5,471.79 and 2,259.64 is: 3,390.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.67 : 5,471.79 = 2,259.64 : x
  2. Step 2: Convert to fraction form
    3,646.67/5,471.79 = 2,259.64/x
  3. Step 3: Cross multiply
    3,646.67x = 5,471.79 × 2,259.64
  4. Step 4: Simplify right side
    3,646.67x = 12,364,248.20
  5. Step 5: Solve for x
    x = 12,364,248.20/3,646.67
  6. Step 6: Final answer
    x = 3,390.56

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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.