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Finding the Fourth Proportional to 3,646.32, 5,471.04 and 2,188.32

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Solution

The fourth proportional to 3,646.32, 5,471.04 and 2,188.32 is: 3,283.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.32 : 5,471.04 = 2,188.32 : x
  2. Step 2: Convert to fraction form
    3,646.32/5,471.04 = 2,188.32/x
  3. Step 3: Cross multiply
    3,646.32x = 5,471.04 × 2,188.32
  4. Step 4: Simplify right side
    3,646.32x = 11,972,386.25
  5. Step 5: Solve for x
    x = 11,972,386.25/3,646.32
  6. Step 6: Final answer
    x = 3,283.42

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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.